Publications of Joseph B. Keller
(PDF and/or postscript links will be established to some of these papers)

Diffraction of Sound Around a Circular Disk, (with H. Primakoff, M.J. Klein and E. Carstensen) J.A.S.A., 19, 132-142, Jan. 1947;
Math. Revs.
8, 545, 1947.

Reflection and Transmission of Sound by Thin Curved Shells, (with H. Primakoff), J.A.S.A., 19, 820-831, Sept. 1947;
Math. Revs.
, 9, 315, 1948.

Reflection and Transmission of Sound by a Spherical Shell, (with H.B. Keller), J.A.S.A., 20, 310-313, May 1948;
Math. Revs.
, 9, 635, 1948.

On the Solution of the Boltzmann Equation for Rarefied Gases, Comm. Pure Appl. Math., 1, 275-285, Sept. 1948;
Math. Revs.
10, 639, 1949.

The Solitary Wave and Periodic Waves in Shallow Water, Comm. Pure Appl. Math., 1, 323-340, Dec. 1948;
Math. Revs.
11, 227, 1950. Also in Ocean Surface Waves, Annals of the N.Y. Acad. of Sci., 51, 345-350, May 1949.

Reflection and Transmission of Electromagnetic Waves by a Spherical Shell, (with H.B. Keller), J.Appl. Phys., 20, 393-396, April 1949;
Math. Revs.
, 10, 659, 1949.

Determination of Reflected and Transmitted Fields by Geometrical Optics, (with H.B. Keller), J. Opt. Soc. Am., 40, 48-52, Jan. 1950;
Math. Revs.
, 11, 561, 1950.

Reflection and Transmission of Electromagnetic Waves by Thin Curved Shells, J. Appl. Phys., 21, 896-901, Sept. 1950;
Math. Revs., 12, 305, 1951.

Reflection of Waves from Floating Ice in Water of Finite Depth, (with M.L. Weitz), Comm. Pure Appl. Math., 3, 305-318, Sept. 1950;
Math. Revs., 12, 762, 1951.

Diffraction and Reflection of Pulses by Wedges and Corners, (with A. Blank), Comm. Pure Appl. Math., 4, 75-94, June 1951;
Math. Revs.
, 12, 564, 1951; 13, 304, 1952.

Bowing of Violin Strings, Proc. of the Eighth Internat'l. Cong. on Theor. and Appl. Mech., Istanbul, Turkey, Sept. 1951.

Comments on Channels of Communication in Small Groups, Am. Soc. Rev., 16, 842-843, Dec. 1951.

Diffraction of a Shock or an Electromagnetic Pulse by a Right-Angled Wedge, J. Appl. Phys., 23, 1267-1268, Nov. 1952.

Scattering of Water Waves Treated by the Variational Method, (abstract), Gravity Waves, Proc. NBS Sesquicentennial Symp. on
Gravity Waves, NBS Circular 521
, Nov. 28, 1952, p. 127.

Water Wave Reflection Due to Surface Tension and Floating Ice, (with E. Goldstein), Trans. Am. Geophys. Union, 34, 43-48, Feb 1953;
Math. Revs.
, 14, 810, 1953.

Finite Amplitude Sound Waves, J.A.S.A., 25, 212-216, March 1953; Math. Revs., 14, 923, 1953.

The Geometrical Theory of Diffraction, Proc. of the Symp. on Microwave Optics, Eaton Electronics Laboratory,
McGill University, Montreal, Canada, June 1953, Vol. 1 (4 pages); Reprinted as, The Geometric Optics Theory of
Diffraction, The McGill Symp. on Microwave Optics, B.S. Karasik and F.J. Zucker, eds., AFCRC, Bedford, MA, 1959, Vol. 2, 207-210.

Asymptotic Evaluation of the Field at a Caustic, (with I. Kay), J. Appl. Phys., 25, 876-883, 1954.

Bohm's Interpretation of the Quantum Theory in Terms of Hidden Variables, Phys. Rev., 89, 1040-1041, 1953; Math. Revs., 16, 984, 1954.

Reflection and Transmission Coefficients for Water Waves Entering or Leaving an Icefield, (with M.L. Weitz),
Comm. Pure Appl. Math.
, 6, 415-417, July 1953; Math. Revs., 17, 571, 1954.

Parallel Reflection of Light by Plane Mirrors, Quart. Appl. Math., 11, 216-219, July 1953; Math. Revs., 14, 1042, 1953.

Bowing of Violin Strings, Comm. Pure Appl. Math., 6, 483-495, Nov. 1953; Math. Revs., 15, 707, 1954.

The Scope of the Image Method, Comm. Pure Appl. Math., 6, 505-512, Nov. 1953; Math. Revs., 14, 877, 1953.

Decay of Spherical Sound Pulses due to Viscosity and Heat Conduction, J.A.S.A., 26, 58, Jan. 1954; Math. Revs., 15, 757, 1954.

Finite Amplitude Sound Produced by a Piston in a Closed Tube, J.A.S.A., 26, 253-254, 1954.

Multiple Shock Reflection in Corners, J. Appl. Phys., 25, 588-590, May 1954; Math. Revs., 16, 85, 1955.

Asymptotic Evaluation of the Field at a Caustic, (with I. Kay), J. Appl. Phys., 25, 876-883, July 1954;
Math. Revs., 16, 199, 1955.

Instability of Liquid Surfaces and the Formation of Drops, (with I.I. Kolodner), J. Appl. Phys., 25, 918-921, July 1954;
Math. Revs.,
16, 638, 1955.

Lowest Eigenvalues of Nearly Circular Regions, (with H.B. Keller), Quart. Appl. Math., 12, 141-150, July 1954;
Math. Revs., 15, 959, 1954.

Geometrical Acoustics I. The Theory of Weak Shock Waves, J. Appl. Phys., 25, 938-947, Aug. 1954; Math. Revs., 16, 761, 1955.

Asymptotic Expansion of Solutions of tex2html_wrap_inline966 , (with F.G. Friedlander), Comm. Pure Appl. Math., 8, 387-394, Aug. 1955;
Math. Revs., 16, 482, 1955; 17, 41, 1956.

Geometrical Acoustics II. Diffraction, Reflection and Refraction of a Weak Spherical or Cylindrical Shock at a Plane Interface,
(with K.O. Friedrichs), J. Appl. Phys., 26, 961-966, Aug. 1955; Math. Revs., 17, 553, 1956.

Reflection and Transmission of Sound by a Moving Medium,, J.A.S.A., 27, 1044-1047, Nov. 1955; Math. Revs., 17, 553, 1956.

Determination of the Potential from Scattering Data, (with I. Kay and J. Shmoys), Phys. Rev., 102, 557-559, April 1956;
Math. Revs.
, 18, 204, 1957.

Asymptotic Solution of Some Diffraction Problems, (with R.M. Lewis and B.D. Seckler), Comm. Pure Appl. Math., 9, 207-265,
June 1956; Math. Revs., 17, 41, 1956; 18, 43, 1957.

Spherical, Cylindrical and One-Dimensional Gas Flows, Quart. Appl. Math., 14, 171-184, July 1956; Math. Revs., 18, 253, 1957.

Electrohydrodynamics I. The Equilibrium of a Charged Gas in a Container, J. Rat. Mech. Anal., 5, 715-724, July 1956;
Math. Revs.,
18, 442, 1957.

Diffraction by a Convex Cylinder, IRE Trans. on Antennas and Prop., Symp. on Electromagnetic Wave Theory,
AP-4, 312-321, July 1956; Math. Revs., 19, 103, 1959.

Damping of Underwater Explosion Bubble Oscillations, (with I.I. Kolodner), J. Appl. Phys., 27, 1152-1161, Oct. 1956.

Upward Falling Jets and Surface Tension, (with M.L. Weitz), J. Fluid Mech., 2, 201-203, March 1957.

Diffraction by an Aperture, J. Appl. Phys., 28, 426- 444, April 1957; Math. Revs., 20, 835, 1959; 21, 105, 1960.

A Theory of Thin Jets, (with M.L. Weitz), Proc. Ninth Internt'l Cong. Appl. Mech., 1, 316-323, Brussels, Belgium, 1957.

Diffraction by an Aperture II, (with R.M. Lewis and B.D. Seckler), J. Appl. Phys., 28, 570-579, May 1957;
Math. Revs.
20, 835, 1959; 21, 105, 1960.

Bounds on Phase Shifts, Il Nuovo Cimento, Series X, 5, 1122- 1127, May 1957.

Teapot Effect, J. Appl. Phys., 28, 859-864, Aug. 1957; Math. Revs. 19, 348, 1958.

Acoustic Torques and Forces on Disks, J.A.S.A., 29, 1085-1090, Oct. 1957; Math. Revs. 19, 707, 1958; 20, 248, 1959.

On Solutions of tex2html_wrap_inline968 , Comm. Pure Appl. Math., 10, 503-510, Nov. 1957; Math. Revs. 19, 964, 1958.

On Solutions of Nonlinear Wave Equations, Comm. Pure Appl. Math., 10, 523-530, Nov. 1957; Math. Revs. 20, 558, 1959.

Propagation of Electromagnetic Pulses Around the Earth, (with B.R. Levy), IRE Trans. on Antennas and Prop., AP-6, 56-61, Jan. 1958;
Math. Revs.
19, 1011, 1958.

Errata: Diffraction by an Aperture, J. Appl. Phys., 29, 744, April 1958.

A Geometrical Theory of Diffraction, Calculus of Variations and Its Applications, Proceedings of Symposia in Applied
Mathematics
, 8, 27 -52, McGraw-Hill, New York, 1958; Math. Revs. 20, 103, 1959.

Corrected Bohr-Sommerfeld Quantum Conditions for Nonseparable Systems, Annals of Phys., 4, 180-188, June 1958;
Math. Revs.
20, 934, 1959.

Propagation of a Magnetic Field into a Superconductor, Phys. Rev., 111, 1497-1499, Sept. 1958; Math. Revs. 20, 730, 1959.

Surface Waves on Water of Nonuniform Depth, J. Fluid Mech., 4, 607-614, Nov. 1958; Math. Revs., 21, 201, 1960.

The Geometrical Theory of Diffraction in Inhomogeneous Media, (with B.D. Seckler), J.A.S.A., 31, 192-205, Feb. 1959;
Math. Revs.
20, 836 and 1132, 1959.

Asymptotic Theory of Diffraction in Inhomogeneous Media, (with B.D. Seckler), J.A.S.A., 31, 206-216, Feb. 1959;
Math. Revs.
20, 836 and 1132, 1959.

Diffraction by a Smooth Object, (with B.R. Levy), Comm. Pure Appl. Math., 12, 159-209, Feb. 1959; Math. Revs., 21, 212, 1960.

Water Waves Produced by Explosions, (with H.C. Kranzer), J. Appl. Phys., 30, 398-407, March 1959; Math. Revs., 21, 202, 1960.

The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors, IRE Trans. on Antennas and Prop.,
AP-7
, 146-149, April 1959.

Determination of the Intermolecular Potentials from Thermodynamic Data and the Law of Corresponding States, (with B. Zumino),
J. Chem. Phys.
, 30, 1351-1353, May 1959.

Elastic Wave Propagation in Homogeneous and Inhomogeneous Media, (with F.C. Karal, Jr.), J.A.S.A., 31, 694-705, June 1959;
Math. Revs., 21, 457, 1960.

How Dark is the Shadow of a Round-Ended Screen?, J. Appl. Phys., 30, 1452-1454, Sept. 1959.

Large Amplitude Motion of a String, Am. J. Phys., 27, 584-586, Nov. 1959; Math. Revs. 21, 733, 1960.

Decay Exponents and Diffraction Coefficients for Surface Waves on Surfaces of Non-constant Curvature, (with B.R. Levy),
IRE Trans. on Antennas and Prop., AP-7, S52-S61, Dec. 1959.

The Stefan Problem for a Nonlinear Equation, (with W.L. Miranker), J. Math. Mech., 9, 67-70, Jan. 1960;
Math. Revs.
22 (2B), 231, 1961.

Asymptotic Solution of Eigenvalue Problems, (with S.I. Rubinow), Annals of Phys., 9, 24-75, Jan. 1960; Errata, No. 72.

Diffraction by a Spheroid, (with B.R. Levy), Canadian J. of Phys., 38, 128-144, Jan. 1960; Math. Revs. 22 (2B), 228, 1961.

Boundary Layer Problems in Diffraction Theory, (with R.N. Buchal), Comm. Pure Appl. Math., 13, 85-114, Feb. 1960;
Math. Revs.
22 (10B), 1797, 1961.

Backscattering from a Finite Cone, IRE Trans. on Antennas and Prop., AP-8, 175-182, Mar. 1960.

The Shape of the Strongest Column, Archiv. Rat. Mech. Anal., 5, 275-285, Mar. 1960; Math. Revs., 23, (3B), 217, 1962.

Surface Wave Excitation and Propagation, (with F.C. Karal, Jr.), J. Applied Phys., 31, 1039-1046, June 1960;
Math. Revs.
25, 2753, 1963.

Errata: Asymptotic Solution of Eigenvalue Problems, (with S.I. Rubinow), Annals of Phys., 10, 303-305, 1960.

Standing Surface Waves of Finite Amplitude, (with I. Tadjbakhsh), J. Fluid Mech., 8, 442-451, July 1960;
Math. Revs.
, 22 (8B), 1270, 1961.

Equation of State and Phase Transition of the Spherical Lattice Gas, (with W. Pressman), Phys. Rev., 120, 22-32, Oct. 1960;
Math. Revs., 22 (7B), 1044, 1961.

Multiple Diffraction by an Aperture in a Hard Screen, (with S.N. Karp), Optica Acta, 8, 61-72, Jan. 1961.

Solution of the Functional Differential Equation for the Statistical Equilibrium of a Crystal, (with R.M. Lewis), Phys. Rev., 121,
1022-1037, Feb. 1961: Math. Revs. 23 (1B), 1962.

Simple Proofs of the Theorems of J.S. Lomont and H.E. Moses on the Decomposition and Representation of Vector Fields,
Comm. Pure Appl. Math., 14, 77-80, 1961; Math. Revs., 23 (1B), 1962.

Lower Bounds and Isoperimetric Inequalities for Eigenvalues of the Schröinger Equation, J. Math. Phys., 2, 262-266, Mar. 1961;
Math. Revs.
, 22, (11B), 2017, 1961.

Shift of the Shadow Boundary and Scattering Cross Section of an Opaque Object, (with S.I. Rubinow), J. Appl. Phys., 32,
814-820, May 1961; Math. Revs. 22 (10B), 1797, 1961.

Asymptotic Solution of Systems of Linear Ordinary Differential Equations with Discontinuous Coefficients, (with C.R. Chester),
J. Math. Mech.
, 10, 557-567, July 1961; Math. Revs., 23, A2569, 1962.

Backscattering from a Finite Cone-Comparison of Theory and Experiment, IRE Trans. Antennas and Prop., AP-9,
411-412, July 1961.

Diffraction by a Semi-Infinite Screen with a Rounded End, (with D.G. Magiros), Comm. Pure Appl. Math., 14, 475-471, 1961.

Quantization of the Fluxoid in Superconductivity, (with B.Zumino), Phys. Rev. Letters, 7, 164-165, Sept. 1961.

Diffraction of Polygonal Cylinders, Electromagnetic Waves, R.E. Langer, ed., University of Wisconsin Press, Madison,
1962; 129-137; Math. Revs. 24, B212, 1962.

Current on and Input Impedance of a Cylindrical Antenna, (with Y.M. Chen), Radio Prop., J. Res. Nat. Bur. Stan., 66D, 15-21, Jan. 1962;
Math. Revs.
24, B1518, 1962.

Three-Dimensional Standing Surface Waves of Finite Amplitude, (with G.R. Verma), Phys. Fluids, 5, 52-56, Jan. 1962.

Determination of a Potential from its Energy Levels and Undetectability of Quantization at High Energy, Am. J. Phys., 30, 22-26, Jan. 1962.

Geometrical Theory of Diffraction, J. Opt. Soc. Am., 52, 116-130, Feb. 1962; Math. Revs. 24, B1115, 1962.

Strongest Columns and Isoperimetric Inequalities for Eigenvalues, (with I. Tadjbakhsh), J. Appl. Mech., 29E 159-164, Mar. 1962;
Appl. Mech. Revs.
, 15, 5774, 1962.

Buckled States of Circular Plates, (with H.B. Keller and E.L. Reiss), Quart. Appl. Math., 20, 55-65, April 1962.

The Transverse Force on a Spinning Sphere Moving in a Viscous Fluid, (with S.I. Rubinow), J. Fluid Mech., 11, 447-459, 1961;
Appl. Mech. Rev.
, 15, 3407, 1962.

Wave Propagation in Random Media, Proc. Symp. in Appl. Math., 13, Hydrodynamic Instability, Am. Math. Soc., 227-246, 1962.

Factorization of Matrices by Least Squares, Biometrika, 49, 239-242, 1962.

Exponential-Like Solutions of Systems of Linear Ordinary Differential Equations, (with H.B. Keller), SIAM J. Appl. Math.,
10, 246-259, 1962.

A Survey of Short Wavelength Diffraction Theory, Symposium on Electromagnetic Theory and Antennas, Copenhagen,
June 1962, Pergamon Press, New York, 1963, 3-9.

Conductivity Tensor and Dispersion Equation for a Plasma, (with R.M. Lewis), Phys. Fluids, 5, 1248-1263, 1962.

The Field of a Pulsed Dipole in an Interface, (with C.S. Gardner), Comm. Pure Appl. Math., 15, 99-108, 1962.

Reaction Kinetics of a Long Chain Molecule, J. Chem. Phys. 37, 2584-2586, 1962.

Reaction Kinetics of a Long Chain Molecule II. Arends' Solution, J. Chem. Phys., 38, 325-326, 1963.

Low-Energy Expansion of Scattering Phase Shifts for Long-Range Potentials, (with B.R. Levy), J. Math. Phys., 4, 54-64, 1963.

Geometrical Methods and Asymptotic Expansions in Wave Propagation, J. Geophys. Res., 68, 1182-1183, 1963.

Small Vibrations of a Slightly Stiff Pendulum, (with G.H. Handleman), Proc. Fourth. U.S. Nat. Cong. Appl. Mech.,
Am. Soc. Mech. Eng., New York, 1963, 195-202.

Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders,
J. Appl. Phys.
, 34, 991-993, 1963.

Zeros of Hankel Functions and Poles of Scattering Amplitudes, (with S.I. Rubinow and M. Goldstein), J. Math. Phys., 4, 829-832, 1963.

Scattering of Short Waves, (with B.R. Levy), Interdisciplinary Conference on Electromagnetic Scattering, August 1962,
Milton Kerker, ed. Clarkson College of Technology, MacMillan, New York, 1963, 3-24.

Asymptotic Solution of the Dirac Equation, (with S.I. Rubinow), Phys. Rev., 131, 2789-2796, 1963.

Tsunamis-Water Waves Produced by Earthquakes, Proceedings of the Conference on Tsunami Hydrodynamics,
Institute of Geophysics, University of Hawaii, 24, 154-166, 1961.

The High-Frequency Asymptotic Field of a Point Source in an Inhomogeneous Medium, (with G.S.S. Avila), Comm. Pure
Appl. Math.
, 16, 363-381, 1963.

Instability Intervals of Hill's Equation, (with D.M. Levy), Comm. Pure Appl. Math., 16, 469-476, 1963.

Impedance Between Perfect Conductors in a Finitely Conducting Medium With Application to Composite Media,
(with R.N. Buchal), J. Appl. Phys., 34, 3414, 1963.

The Field of an Antenna Near the Center of a Large Circular Disk, J. Soc. Indust. Appl. Math., 11, 1110-1112, 1963.

The Steepest Minimal Surface Over the Unit Circle, (Appendix to Robert Finn, New Estimates for Equations of Minimal Surface Type),
Arch. Rat. Mech. Anal., 14, 337-375, 1963.

Geometrical Theory of Elastic Surface-Wave Excitation and Propagation, (with F.C. Karal, Jr.), J.A.S.A., 36, 32-40, 1964.

Viscous Flow Through a Grating or Lattice of Cylinders, J. Fluid Mech., 18, 94-96, 1964.

Elastic, Electromagnetic, and Other Waves in a Random Medium, (with F.C. Karal, Jr.), J. Math. Phys., 5, 537-547, 1964.

A Theorem on the Conductivity of a Composite Medium, J. Math. Phys., 5, 548-549, April 1964.

Growth and Decay of Gas Bubbles in Liquids, Cavitation in Real Liquids, Robert Davies, ed., Elsevier, Amsterdam, 1964, 19-29.

Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals, (with F. Odeh), J. Math. Phys., 5, 1499- 1504, 1964.

Stochastic Equations and Wave Propagation in Random Media, Proc. Symp. Appl. Math., 16, 145-170, Am. Math. Soc.,
McGraw-Hill, New York, 1964.

Survey of the Theory of Diffraction of Short Waves by Edges, (with E.B. Hansen), Acta Physica Polonica, 27, 217-234, 1965.

The Inverse Problem of Electromagnetic Scattering by a Metallic Object, Proc.First GISAT Symp., Mitre Corp., Bedford, MA., 1965, 13-21.

Statistical Mechanics of the Moment Stress Tensor, (with E.F. Keller), Phys. Fluids, 9, 3-7, 1966.

Statistical Mechanics of a Fluid in an External Potential, (with E.F. Keller), Phys. Rev., 142, 90-99, 1966.

Effective Dielectric Constant, Permeability, and Conductivity of a Random Medium and the Velocity and Attenuation Coefficient
of Coherent Waves, (with F.C. Karal, Jr.), J. Math. Phys., 7, 661-670, 1966.

Nonlinear Vibrations Governed by Partial Differential Equations, Proceedings of 5th U.S. National Congress on Applied Mech.,
1966, Minneapolis, MN., 15-20.

Quantum-Mechanical Second Virial Coefficient of a Hard Sphere Gas at High Temperature, (with R.A. Handelsman),
Phys. Rev.
, 148, 94-97, Aug. 1966.

Some Recent Developments in Diffraction and Scattering Theory, Proceedings of the URSI General Assembly, Munich, 1966.

Periodic Oscillations in Model of Thermal Convection, J. Fluid Mech., 26, 599-606, 1966.

The Tallest Column, (with F.I. Niordson), J. Math. Mech., 16, 433-446, 1966.

Periodic Vibrations of Systems Governed by Nonlinear Partial Differential Equations, (with L. Ting), Comm. Pure Appl. Math.,
19, 371-420, 1966.

Axially Symmetric Potential Flow Around a Slender Body, (with R.A. Handelsman), J. Fluid Mech. 28, 131-147, 1967.

The Electrostatic Field Around a Slender Conducting Body of Revolution, (with R.A. Handelsman), SIAM J. Appl. Math.,
15
, 824-841, 1967.

The Velocity and Attenuation of Waves in a Random Medium, Electromagnetic Scattering, R.L. Rowell and R.S. Stein, eds.,
Proceedings of ICES II, Gordon and Breach Science Publishers, New York, 1967, 823-834.

Extremum Principles for Slow Viscous Flows with Applications to Suspensions, (with L.A. Rubenfeld and J.E. Molyneux),
J. Fluid Mech.
, 30, 97-125, 1967.

Refractive Index, Attenuation, Dielectric Constant, and Permeability for Waves in a Polarized Medium, (with D.J. Vezzeti),
J. Math. Phys.
, 8, 1861-1870, 1967.

Uniform Asymptotic Solutions for Potential Flow Around a Thin Airfoil and the Electrostatic Potential About a Thin Conductor,
(with J.F. Geer), SIAM J. Appl. Math., 16, 75-101, 1968.

Ray Theory of Reflection from the Open End of A Waveguide, (with H.Y. Yee and L.B. Felsen), SIAM J. Appl. Math.,
16
, 268-300, 1968.

Loss of Boundary Conditions in the Asymptotic Solution of Linear Ordinary Differential Equations, I Eigenvalue Problems,
(with G.H. Handelman and R.E. O'Malley, Jr.), Comm. Pure Appl. Math., 21, 243-261, 1968.

Loss of boundary Conditions in the Asymptotic Solution of Linear Ordinary Differential Equations, II Boundary Value Problems,
(with R.E. O'Malley, Jr.), Comm. Pure Appl. Math., 21, 263-270, 1968.

Hydrodynamic Aspects of the Circulatory System, (with S.I. Rubinow), Proceedings of the 1st International Congress of Hemorheology,
Reykjavik, Iceland, 1968, 149-155.

A Survey of the Theory of Wave Propagation in Continuous Random Media, Symposium on Turbulence of Fluids and Plasmas,
Polytechnic Institute of Brooklyn, N.Y., 1968, 131-142.

Spectra of Water Waves in Channels and Around Islands, (with M.C. Shen and R.E. Meyer), Phys. Fluids, 11, 2289-2304, 1968.

Perturbation Theory of Nonlinear Boundary-Value Problems, (with M.H. Millman), J. Math. Phys., 10, 342-361, 1969.

Bifurcation Theory and Nonlinear Eigenvalue Problems, J.B. Keller and S. Antman, eds., Benjamin, New York, 1969.

Bifurcation Theory for Ordinary Differential Equations, Bifurcation Theory and Nonlinear Eigenvalue Problems,
J.B. Keller and S. Antman, eds., Benjamin, New York, 1969, 17-48.

Rossby Waves in the Presence of Random Currents, (with G. Veronis), J. Geophys. Res., 74, 1941-1951, 1969.

Perturbation Theory of Nonlinear Electromagnetic Wave Propagation, (with M.H. Millman), Phys. Rev., 181, 1730-1747, 1969.

Nonlinearity in Electromagnetic Wave Propagation, Proceedings of the URSI Symposium on Electromagnetic Waves,
Stresa, Italy, 1968; Alta Frequenza, 38 Special Number, 198-203, May 1969.

Survey of the Theory of Turbulence, Contemporary Physics, Vol. I, International Atomic Energy Agency, Vienna, 1969, 257-272.

Reflection of Elastic Waves from Cylindrical Surfaces, (with D.S. Ahluwalia and E. Resende), J. Math. Mech., 19, 93-105, 1969.

Accuracy and Validity of the Born and Rytov Approximations, J. Opt. Soc. Amer., 59, 1003-1004, 1969.

Internal Wave Propagation in an Inhomogeneous Fluid of Non-Uniform Depth, (with V.C. Mow), J. Fluid Mech., 38, 365-374, 1969.

Bounds on Elastic Moduli of Composite Media, (with L.A. Rubenfeld), SIAM J. Appl. Math., 17, 495-510, 1969.

Reflection and Transmission by a Random Medium, (with P.Chow, I. Kupiec, L.B. Felsen and S. Rosenbaum),
Radio Science
, 4, 1067-1077, 1969.

Progressing Waves Diffracted by Smooth Surfaces, (with D.S. Ahluwalia), J. Math. Mech., 19, 515-530, 1969.

Uniform Asymptotic Solution of Second Order Linear Ordinary Differential Equations with Turning Points, (with R.Y.S. Lynn),
Comm. Pure Appl. Math.
, 23, 379-408, 1970.

Internal Wave Wakes of a Body Moving in a Stratified Fluid, (with W.H. Munk), Phys. Fluids, 13, 1425-1431, 1970.

Asympotic Solutions of Initial Value Problems of Nonlinear Partial Differential Equations, (with S. Kogelman),
SIAM J. Appl. Math.
, 18, 748-758, 1970.

Classical and Quantum Mechanical Correlation Functions of Fields in Thermal Equilibrium, J. Math. Phys., 11, 2286-2296, 1970.

Extremum Principals for Irreversible Processes, J. Math. Phys., 11, 2919-2931, 1970.

Complex Rays with an Application to Gaussian Beams, (with W. Streifer), J. Opt. Soc. Amer., 61, 40-43, 1971.

Finite Amplitude Sound Wave Propagation in a Waveguide, (with M.H. Millman), J. Acoust. Soc. Amer., 49, 329-333, 1971.

Diffraction by a Curved Wire, (with D.S. Ahluwalia), SIAM J. Appl. Math., 20, 390-405, 1971.

Transient Behavior of Unstable Nonlinear Systems with Applications to the Benard and Taylor Problems, (with S. Kogelman),
SIAM J. Appl. Math.
, 20, 619-637, 1971.

Mean Power Transmission Through a Slab of Random Medium, (with J.A. Morrison and G.C. Papanicolaou),
Comm. Pure Appl. Math.
, 24, 473-489, 1971.

Force on a Rigid Sphere in an Incompressible Inviscid Fluid, (with S.I. Rubinow), Phys. Fluids, 14, 1302-1304, 1971.

Stochastic Differential Equations with Applications to Random Harmonic Oscillators and Wave Propagation in Random Media,
(with G. Papanicolaou), SIAM J. Appl. Math., 21, 287-305, 1971.

Propagation of Acoustic Waves in a Turbulent Medium, (with A.R. Wenzel), J. Acous. Soc. Amer., 50, 911-920, 1971.

Wave Propagation in a Fluid-Filled Tube, (with S.I. Rubinow), J. Acous. Soc. Amer., 50, 198-223, 1971.

Diffraction Coefficients for Higher Order Edges and Vertices, (with L. Kaminetzky), SIAM J. Appl. Math., 22, 109-134, 1972.

Temperature of a Nonlinearly Radiating Semi-Infinite Solid, (with W.E. Olmstead), Q. Appl. Math., 30, 559-566, 1972.

Short Time Asymptotic Expansions of Solutions of Parabolic Equations, (with J.K. Cohen and F.G. Hagin), J. Math. Anal. Appl.,
38
, 82-91, 1972.

Dipole Moments in Rayleigh Scattering, (with R.E. Kleinman and T.B.A. Senior), J. Inst. Math. Appl., 9 14-22, 1972.

Flow of a Viscous Fluid Through an Elastic Tube with Applications to Blood Flow, (with S.I. Rubinow), J. Theor. Bio., 35, 299-313, 1972.

Quantum Mechanical Cross Sections for Small Wavelengths, Am. J. Phys., 40, 1035-1036, 1972.

Wave Propagation in a Random Lattice I, (with P.-L. Chow), J. Math. Phys., 13, 1404-1411, 1972.

Nonlinear Stability Theory, Proceedings of the Conference on Mathematical Topics in Stability Theory, March 1972,
Univ. of Washington, Pullman, Washington, 85-98.

Expansion and Contraction of Planar, Cylindrical, and Spherical Underwater Gas Bubbles, (with D. Epstein), J. Acous. Soc. Am.,
52
, 975-980, 1972.

Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact, (with J.E. Flaherty and S.I. Rubinow),
SIAM J. Appl. Math.
, 23, 446-455, 1972.

Backscattering from a Circular Loop of Wire, (with D.S. Ahluwalia), Proc. IEEE, 60, 1552-1554, 1972.

Some Trends in Applied Mechanics, Proc. First Iranian Congress of Civil Engineering and Appl. Mech.,
Pahlavi University, Shiraz, Iran, May 1972, 102-104.

Contact Problems Involving a Buckled Elastica, (with J.E. Flaherty), SIAM J. Appl. Math. 24, 215-225, 1973.

Asymptotic Theory of Nonlinear Wave Propagation, (with S. Kogelman), SIAM J. Appl. Math. 24, 352-361, 1973.
(Addendum SIAM J. Appl. Math. 47, 941-958, 1987.)

A Theory of Competitive Running, Physics Today, 26, No. 9, 42-47, 1973. Also abridged in Optimal Strategies in Sports,
S. Ladany and R. Machol, eds., American Elsevier, New York, 1977, 172-178.

Uniform Asymptotic Solution of Eigenvalue Problems for Convex Plane Domains, (with D.S. Ahluwalia),
SIAM J. Appl. Math.
, 25, 583-591, 1973.

Flows of Thin Streams with Free Boundaries, (with J. Geer), J. Fluid Mech., 59, 417-432, 1973.

Stochastic Differential Equations, J. B. Keller and H. P. McKean, eds., Am. Math. Soc., Providence, RI, 1973.

Elastic Behavior of Composite Media, (with J.E. Flaherty), Comm. Pure Appl. Math., 26, 565-580, 1973.

Ray Method for Nonlinear Wave Propagation in a Rotating Fluid of Variable Depth, (with M.C. Shen), Phys. Fluids, 16,
1565-1572, 1973. (erratum: Phys. Fluids 24, 786 (1981)).

Traveling Wave Solutions of a Nerve Conduction Equation, (with J. Rinzel), Biophys. J., 13, 1313-1337, 1973.

Spatial Instability of a Jet, (with S.I. Rubinow and Y.O. Tu), Phys. Fluids, 16, 2052-2055, 1973.

Elastic Waves Produced by Surface Displacements, (with D.S. Ahluwalia and R. Jarvis), SIAM J. Appl. Math., 26, 108-119, 1974.

Asymptotic Solution of Neutron Transport Problems for Small Mean Free Paths, (with E. W. Larsen), J. Math. Phys., 15, 75-81, 1974.

Contact of Inflated Membranes with Rigid Surfaces, (with A.J. Callegari), J. Appl. Mech., 41, 189-191, 1974.

Nonlinear Forced and Free Vibrations in Acoustic Waveguides, J. Acoust. Soc. Am., 55, 524-527, 1974.

Wave Propagation in Elastic Rods of Arbitrary Cross Section, (with G. Rosenfeld), J. Acoust. Soc. Am., 55, 555-561, 1974.

Optimal Velolicty in a Race, Am. Math. Monthly 81, 474-480, 1974.

Asymptotic Theory of Propagation in Curved and Nonuniform Waveguides, (with D.S. Ahluwalia and B.J. Matkowsky),
J. Acoust. Soc. Am.
, 55, 7-12, 1974.

Planing of a Flat Plate at High Froude Number, (with L. Ting), Phys. Fluids, 17, 1080-1086, 1974.

Effect of Viscosity on Swimming Velocity of Bacteria, Proc. Nat. Acad. Sci., 71, 3253-3254, 1974.

Optimum Checking Schedules for Systems Subject to Random Failure, Management Sci. 21, 256-260, 1974.

Mechanical Aspects of Athletics, Proc. Seventh U.S. Nat. Cong. Appl. Mech., Boulder, CO, June 1974, 22-26,
The American Society of Mechanical Engineers, New York, N.Y. Also abridged in Optimal Strategies in Sports,
S. Ladany and R. Machol, eds., American Elsevier, New York, NY, 1977, 186-187.

Wave Propagation in Nonuniform Elastic Rods, (with G. Rosenfeld), J. Acoust. Soc. Am. 57, 1094-1096, 1975.

The Feyman Integral, (with D.W. McLaughlin ), Am. Math. Monthly, 82, 451-465, 1975.

Diffraction by Edges and Vertices of Interfaces, (with L. Kaminetzky), SIAM J. Appl. Math., 28, 839-856, 1975.

Uniform Ray Theory of Surface, Internal and Acoustic Wave Propagation in a Rotating Ocean or Atmosphere,
(with M.C. Shen), SIAM J. Appl. Math., 28, 857-875, 1975.

Effective Conductivity, Dielectric Constant and Permeability of a Dilute Suspension, Philips Res. Repts., 30, 83-90, 1975.

Closest Unitary, Orthogonal and Hermitian Operators to a Given Operator, Mathematics Magazine, 48, 192-197, 1975.

Asymptotic Analysis of Stochastic Models in Population Genetics, (with R. Voronka), Math. Biosci., 25, 331-362, 1975.

Asymptotic solution of Eigenvalue Problems for Second Order Ordinary Differential Equations, (with D.U. Anyanwu),
Comm. Pure Appl. Math.
, 28, 753-763, 1975.

Inverse Problems, Am. Math. Monthly, 83, 107-118, 1976.

Swimming of Flagellated Microorganisms, (with S.I. Rubinow), Biophys. J., 16, 151-170, 1976.

Wave Patterns of Non-Thin or Full-Bodied Ships, Proc. Tenth Symp. Naval Hydro., Office of Naval Research,
Department of the Navy, Arlington, VA, June 1974, 543-545.

Wave Resistance and Wave Patterns of Thin Ships, (with D.S. Ahluwalia), J. Ship Res., 20, 1-6, 1976.

Slender-Body Theory for Slow Viscous Flow, (with S.I. Rubinow), J. Fluid Mech. 75, 705-714, 1976.

Synchronization of Periodical Cicada Emergences, (with F.C. Hoppensteadt), Science, 194, 335-337, 1976.

The Minimum Ratio of Two Eigenvalues, SIAM J. Appl. Math., 31, 485-491, 1976.

Optimal Shape of a Planing Surface at High Froude Number, (with L. Ting), J. Ship Res., 21, 40-43, 1977.

Green's Function with the Singularity Near the Boundary, (with C.H. Wu), Recent Adv. Eng. Sci., 8, 169-174, 1977.

A Theory of Transformed Cell Growth with Applications to Initiation-Promotion Data, (with A. Whittemore),
Environmental Health: Quantitative Methods
, Alice Whittemore, ed., SIAM, Philadelphia, PA, 1977, 183-193.

Radiation from the Open End of a Cylindrical or Conical Pipe and Scattering from the End of a Rod or Slab, (with L. Ting),
J. Acoust. Soc. Am., 61, 1438-1444, 1977.

Effective Behavior of Heterogeneous Media, Statistical Mechanics and Statistical Methods in Theory and Application,
U. Landman, ed., Plenum, New York, 1977, 631-644.

Lecture Notes on Wave Propagation and Underwater Acoustics, J.B. Keller and J.S. Papadakis, eds., Springer, New York, 1977.

Ray and Asymptotic Methods in Underwater Sound Propagation, (with D.S. Ahluwalia), Lecture Notes on Wave Propagation
and Underwater Acoustics
, J.B. Keller and J.S. Papadakis, eds., Springer, New York, 1977, 14-85.

Survey of Wave Propagation and Underwater Acoustics, Lecture Notes on Wave Propagation and Underwater Acoustics,
J.B. Keller and J.S. Papadakis, eds., Springer, New York, 1977, 1-12.

Peeling, Slipping and Cracking-Some One-Dimensional Free-Boundary Problems in Mechanics, (with R. Burridge),
SIAM Rev.
, 20, 31-61, 1978.

Quantitative Theories of Carcinogenesis, (with A. Whittemore), SIAM Rev., 20, 1-30, 1978.

Asymptotic Solution of Higher-Order Differential Equations with Several Turning Points, and Application to Wave Propagation
in Slowly Varying Waveguides, (with D.U. Anyanwu), Comm. Pure Appl. Math., 31, 107- 121, 1978.

Asymptotic Analysis of Diffusion Equations in Population Genetics, (with C. Tier), SIAM J. Appl. Math., 34, 549-576, 1978.

Heat Conduction in a One-Dimensional Random Medium, (with C.G. Papanicolaou and J. Weilenmann), Comm. Pure Appl.
Math.
, 32, 583-592, 1978.

Modification of Underwater Bubble Oscillations by Nearby Objects, J. Acoust. Soc. Am., 64, 937, 1978.

Rays, Waves and Asymptotics, Bull. Am. Math. Soc., 84, 727-750, 1978.

Wave Propagation in a Viscoelastic Tube Containing a Viscous Fluid, (with S.I. Rubinow), J. Fluid Mech., 88, 181-203, 1978.

Elastic Waveguides, Modern Problems in Elastic Wave Propagation, J. Miklowitz and J.D. Achenbach, eds.,
Wiley, New York, 1978, 401-415.

A Tri-Allelic Diffusion Model with Selection, (with C. Tier), SIAM J. Appl. Math., 35, 521-535, 1978.

Stochastic Theories of Carcinogenesis and Population Genetics, Lecture Notes on Mathematics in the Life Sciences, Vol. 11,
S. Levin, ed., Am. Math. Soc., Providence, 1979, 1-19.

The Ray Theory of Ship Waves and the Class of Streamlined Ships, J. Fluid Mech., 91, 465-488, 1979.

Progress and Prospects in the Theory of Linear Wave Propagation, SIAM Rev. 21, 229-245, 1979.

Slender Streams, (with J. Geer), J. Fluid Mech., 93, 97-115, 1979.

Training in Applied Mathematics, Proc. of the Conf. on Graduate Training in Math., T.L. Sherman, ed., Rocky Mountain
Mathematics Consortium, Tempe, Arizona, 1979, 110-113.

Lichen Growth, (with S. Childress), J. Theor. Biol., 82, 157-165, 1980.

A New Family of Capillary Waves, (with J.-M. Vanden-Broeck), J. Fluid Mech., 98, 161-169, 1980.

Plate Failure Under Pressure, SIAM Rev., 22, 227-228, 1980.

Darcy's Law for Flow in Porous Media and the Two-Space Method, Nonlinear Partial Differential Equations in Engineering
and Applied Science
, R.L. Sternberg, A.J. Kalinowski and J.S. Papadakis, eds., Marcel Dekker, New York, 1980, 429-443.

Bubble Oscillations of Large Amplitude, (with M. Miksis), J. Acoust. Soc. Am., 68, 628-633, 1980.

Bubble or Drop Distortion in a Straining Flow in Two Dimensions, (with J.-M. Vanden-Broeck), Phys. Fluids, 23, 1491-1495, 1980.

Some Bubble and Contact Problems, SIAM Rev., 22, 442- 458, 1980.

Deformation of a Bubble or Drop in a Uniform Flow, (with J.-M. Vanden-Broeck), J. Fluid Mech.., 101, 673-686, 1980.

Liesegang Rings and a Theory of Fast Reaction and Slow Diffusion, Dynamics and Modeling of Reactive Systems, W. Stewart, ed.,
Academic Press, New York, 1980, 221-224.

Tendril Shape and Lichen Growth, Some Mathematical Questions in Biology, Lectures on Mathematics in the Life Sciences,
Vol. 13
, Am. Math. Soc., Providence, 1980, 257-274.

Shape of a Sail in a Flow, (with J.-M. Vanden-Broeck), Phys. Fluids, 24, 552-553, 1981.

Temperley's Model of Gas Condensation, J. Chem. Phys., 74, 4203-4204, 1981.

Kelvin Wave Production, (with J.G. Watson), J. Phys. Ocean, 11, 284-285, 1981.

Recurrent Precipitation and Liesegang Rings, (with S.I. Rubinow), J. Chem, Phys. 74, 5000-5007, 1981.

Axisymmetric Bubble or Drop in a Uniform Flow, (with M.J. Miksis and J.-M. Vanden-Broek), J. Fluid Mech., 108, 89-100, 1981.

Quench Front Propagation, (with R.E. Caflisch), Nucl. Eng. Design, 65, 97-102, 1981.

Internal and Surface Wave Production in a Stratified Fluid, (with D.M. Levy and D.S. Ahluwalia), Wave Motion, 3, 215-229, 1981.

Oblique Derivative Boundary Conditions and the Image Method, SIAM J. Appl. Math., 41, 294-300, 1981.

Parabolic Approximations for Ship Waves and Wave Resistance, (with J.-M. Vanden-Broek), Proc. of the Third International
Conference on Numerical Ship Hydrodynamics
, Paris, France, Bassin d'Essais des Carenes, 1982, 1-12.

Poroelasticity Equations Derived from Microstructure, (with R. Burridge), J. Acoust. Soc. Am., 70, 1140-1146, 1981.

Optimum Inspection Policies, Management Sci., 28, 447-450, 1982.

Biot's Poroelasticity Equations by Homogenization, (with R. Burridge), Macroscopic Properties of Disordered Media,
ed. by R. Burridge, S. Childress and G. Papanicolau, Springer, New York, 1982, 51-57.

Rising Bubbles, (with M.J. Miksis and J.-M. Vanden-Broeck), J. Fluid Mech., 123, 31-41, 1982.

Jets Rising and Falling Under Gravity, (with J.-M. Vanden-Broeck), J. Fluid Mech., 124, 335-345, 1982.

Time-dependent Queues, SIAM Rev., 24, 401-412, 1982.

Surface Tension Driven Flows, (with M.J. Miksis), SIAM J. Appl. Math., 43, 268-277, 1983.

Weakly Nonlinear High Frequency Waves, (with J.K. Hunter) Comm. Pure Appl. Math. 36, 547-569, 1983.

Capillary Waves on a Vertical Jet, J. Fluid. Mech., 135, 171-173, 1983.

Crawling of Worms, (with M.S. Falkovitz), J. Theor. Bio., 104, 417-442, 1983.

Reflection, Scattering, and Absorption of Acoustic Waves by Rough Surfaces, (with J.G. Watson), J. Acoust. Soc. Amer.,
74
, 1887- 1894, 1983.

Eigenvalues of Slender Cavities and waves in Slender Tubes, (with J.F. Geer), J. Acoust. Soc. Am., 74, 1895-1904, 1983.

Breaking of Liquid Films and Thread, Phys. Fluids, 26, 3451-3453, 1983.

Weak Shock Diffraction (with J.K. Hunter), Wave Motion, 6, 79-89, 1984.

Optimal Catalyst Distribution in a Membrane (with M.S. Falkovitz and H. Frisch), Chem. Eng. Sci. 39, 601-604, 1984.

Probability of a Shutout in Raquetball, SIAM Rev., 26, 267-268, 1984.

Effective Viscosity of a Periodic Suspension, (with K.C. Nunan), J. Fluid Mech., 142, 269-287, 1984.

Effective Elasticity Tensor of a Periodic Composite, (with K.C. Nunan), J. Mech. Phys. Solids, 32, 259-280, 1984.

Rough Surface Scattering via the Smoothing Method, (with J.G. Watson), J. Acoust. Soc. Am., 75, 1705-1708, 1984.

Hanging Rope of Minimum Elongation, (with G.R. Verma), SIAM Rev., 26, 569-571, 1984.

Discriminant, Transmisison Coefficient, and Stability Bands of Hill's Equation, J. Math. Phys., 25, 2903-2904, 1984.

Genetic variability due to Geographical Inhomogeneity, J. Math. Biol. 20, 223-230, 1984.

Free Boundary Problems in Mechanics, Seminar in Nonlinear Partial Differential Equations, S.S. Chern, ed.,
Springer-Verlag, New York, 99-115, 1984.

Macroscopic Modelling of Turbulent Flows, J.B. Keller, U. Frisch, G. Papanicolaou and O. Pironneau, eds.,
Lecture Notes in Physics, No. 230, Springer-Verlag, Berlin Heidelberg, 1985.

One Hundred Years of Diffraction Theory, IEEE Trans. Antennas Prop., AP-33, 123-126, 1985.

Acoustoelastic Effect and Wave Propagation in Heterogeneous Weakly Anisotropic Materials, (with Luis L. Bonilla),
J. Mech. Phys. Solids
, 33, 241-261, 1985.

Hill's Equation with a Large Potential, (with M. I. Weinstein), SIAM J. Appl. Math., 45, 200-214, 1985.

Computers and Chaos in Mechanics, Theoretical and Applied Mechanics, F.I. Nioordson and N. Olhoff, eds. Elsevier, 31-41, 1985.

Asymptotic Analysis of a Viscous Cochlear Model, (with J.C. Neu), J. Acoust. Soc. Am., 77, 2107-2110, 1985.

Soliton Generation and Nonlinear Wave Propagation, Phil. Trans. R. Soc. Lond. A. 315, 367-377, 1985.

Reciprical Relations for Effective Conductivities of Anisotropic Media, (with J. Nevard), J. Math. Phys. 26, 2761-2765, 1985.

Semiclassical Mechanics, SIAM Rev., 27, 485-504, 1985.

Irrevesibilty and Nonrecurrence, (with L.L. Bonilla), J. Statistical Phys., 42, 1115-1125, 1986.

Inverse Elastic Scattering in Three Dimensions, (with W.E. Boyse), J. Acoust. Soc. Am., 79, 215-218, 1986.

Reaction Kinetics on a Lattice, J. Chem. Phys. 84, 4108-4109, 1986.

Impact with Friction, ASME J. Appl. Mech., 53, 1-4, 1986.

Uniform Solutions for Scattering by a Potential Barrier and Bound States of a Potential Well, Am. J. Phys., 54, 546-550, 1986.

The Probability of Heads, Am. Math. Monthly, 93, 191- 197, 1986.

Melting or Freezing at Constant Speed, Phys. Fluids, 92, 2013, 1986.

On Tango's Index forDisease Clustering in Time, (with A. Whittemore), Biometrics, 42, 218, 1986.

Survival Estimation Using Splines, (with A.S. Whittemore) Biometrics, 42, 495-506, 1986.

Review of Stochastic Wave Propagation by K. Sobcyzk, SIAM Review 28, 593-594, 1986.

Scattering by a slender body, (with D.S. Ahluwalia) J. Acoust. Soc. Am. 80, 1782-1792, 1986.

Finite elastic deformation governed by linear equations, J. Appl. Mech. 53, 819-820, 1986.

Pouring Flows, (with J.-M. Vanden-Broeck) Phys. Fluids 29, 3958-3961, 1986.

Finite amplitude vortices in curved channel flow, (with W.H. Finlay and J.H. Ferziger), Proc. of the 25th AIAA Aerospace Sciences
Meeting, Reno, Jan. 1987, 1-9.

Free surface flow due to a sink, (with J.-M. Vanden-Broeck) J. Fluid Mech. 175, 109-117, 1987.

Weir Flows, (with J.-M. Vanden-Broeck) J. Fluid Mech. 176, 283-293, 1987.

Acoustoelasticity, Dynamical problems in continuum physics, eds. J.L. Bona, C. Dafermos, J.L. Ericksen and D. Kinderlehrer,
Springer-Verlag, New York, 1987, pp. 193-203.

Impact with an impulsive frictional moment, ASME J. Appl. Mech. 54, 239-240, 1987.

Effective conductivities of reciprocal media, Random Media, ed. G. Papanicolaou, Springer-Verlag, New York, 1987, pp. 183-188.

Addendum: Asymptotic theory of nonlinear wave propagation, (with S. Kogelman), SIAM J. Appl. Math. 47, 454, 1987.

Caustics of nonlinear waves (with J. K. Hunter), Wave Motion 9, 429-443, 1987.

Asymptotic behavior of stability regions for Hill's equation, (with M.I. Weinstein), SIAM J. Appl. Math. 47, 941-958, 1987.

Stability of periodic plane waves, (with P.K.Newton) SIAM J.Appl. Math. 47, 959-964, 1987.

Sound waves in a periodic medium containing rigid spheres, (with Dov Bai) J. Acoust. Soc. Am. 82, 1436-1441, 1987.

Effective conductivity of periodic composites composed of two very unequal conductors, J. Math. Phys. 28, 2516-2520, 1987.

Lower bounds on permeability (with J. Rubinstein) Phys. Fluids 30, 2919-2921, 1987.

Ropes in Equilibrium, (with J.H. Maddocks), SIAM J. Appl. Math. 47, 1185-1200, 1987.

Misuse of game theory, J. Chronic Diseases, 40, 1147-1148, 1987.

Newton's Second Law, Am. J. Phys, 55, 1145-1146, 1987.

Precipitation Pattern Formation, (with M.S. Falkowitz), J.Chem.Phys., 88, 416-421, 1988.

Stability of plane wave solutions of nonlinear systems (with P.K. Newton), Wave Motion, 10, 183-191, 1988.

Resonantly interacting water waves, J. Fluid Mech., 191, 529-534, 1988.

Nonlinear hyperbolic waves, (with J. K. Hunter), Proc. Royal Society Lond., A 417, 299-308, 1988.

Instability and transition in curved channel flow, (with W.H. Finlay and J.H. Ferziger), J. Fluid Mech., 194, 417-456, 1988.

Flows over rectangular weirs, (with F. Dias and J.-M. Vanden-Broeck), Phys. Fluids, 31, 2071-2076, 1988.

Spilling, But the Crackling is Superb, N. and G. Kurti, eds., Hilger, Bristol, 1988, 25-26.

Instability and transition in nonaxisymmetric curved channel flow (with W.H. Finlay and J.H. Ferziger),
AIAA Paper No. 88-3761, First National Fluid Dynamics Congress, July 1988, 1-8.

Approximations for regression with covariate measurement error, (with A.S. Whittemore), J. Am. Stat. Assoc., 83, 1057-1066, 1988.

Fast reaction, slow diffusion and curve shortening (with J. Rubinstein and P. Sternberg), SIAM J. Appl. Math., 49, 116-133, 1989.

Surfing on solitary waves, (with J.-M. Vanden-Broeck), J. Fluid Mech., 198, 115-125, 1989.

Pouring flows with separation, (with J.-M. Vanden-Broeck), Phys. Fluids A 1, 156-158, 1989.

Fair Dice, (with P. Diaconis) Am. Math. Monthly, 96, 337-339, 1989.

Sedimentation of a dilute suspension, (with J. Rubinstein), Phys. Fluids A 1, 637-643, 1989.

Exact non-reflecting boundary conditions, (with D. Givoli), J. Comp. Phys., 82, 172-192, 1989.

Ocular dominance column development: analysis and simulation, (with K.D. Miller and M.P. Stryker), Science, 245, 605-615, 11 August 1989.

Particle distribution functions in suspensions (with J. Rubinstein), Phys. Fluids A 1, 1632-1641, 1989.

Reaction-diffusion processes and evolution to harmonic maps, (with J. Rubinstein and P. Sternberg), SIAM J. Appl. Math, 49, 1722-1733, 1989.

A Finite Element Method for Large Domains, (with D. Givoli), Comp. Meth. Appl. Mech. and Eng., 76, 41-66, 1989.

Heat transport into a shear flow at high Peclet number, Proc. Roy. Soc. Lond. A, 427, 25-30, 1990.

On unsymmetrically impinging jets, J. Fluid Mech., 211, 653-655, 1990.

Partition asymptotics from recursion equations, (with C. Knessl), SIAM J. Appl. Math., 50, 323-338, 1990.

Stability of crystals that grow or evaporate by step propagation, (with R. Ghez and H.G. Cohen) Appl. Phys. Lett., 56, 1977-1979, 1990.

Non-reflecting boundary conditions for elastic waves (with D. Givoli), Wave Motion, 12, 261-279, 1990.

Collapse of wavefunctions and probability densities, Am. J. Phys., 58, 768-770, 1990.

Slender jets and thin sheets with surface tension (with L. Ting), SIAM J. Appl. Math., 50, 1533-1546, 1990.

Stirling number asymptotics from recursion equations using the ray method, (with C. Knessl), Studies in Applied Math. 84, 43-56, 1991.

Diffusively coupled dynamical systems, Applied and Industrial Mathematics, R. Spigler, ed., Kluwer, Amsterdam 1991, 49-56.

Changes in adiabatic invariants (with Ye Mu), Annals of Physics, 205, 219-227, 1991.

Asymptotic properties of eigenvalues of integral equations, (with C. Knessl), SIAM J. Appl. Math., 51, 214-232, 1991.

Nonlinear wave motion in a strong potential, (with J. Rubinstein), Wave Motion, 13, 291-302, 1991.

Nonlinear eigenvalue problems under strong localized perturbations with applications to chemical reactors,
(with M.J. Ward), Studies in Applied Math. 85, 1-28, 1991.

Mathematical model of granulocytopoiesis and chronic myelogenous leukemia, (with A.S. Fokas and B.D. Clarkson),
Cancer Research
, 51, 2084-2091, 1991.

Flexural rigidity of a liquid surface, (with G.J. Merchant), J. Statistical Phys., 63, 1039-1051, 1991.

Family data determine all parameters in Mendelian incomplete penetrance models (with A.S. Whittemore and M.J. Ward),
Ann. Hum. Genet.
55, 175-177, 1991.

Low-Grade, Latent Prostate Cancer Volume: Predictor of Clinical Cancer Incidence?, (with A.S. Whittemore and R. Betensky),
J. Natl. Cancer Inst.
, 83, 1231-1235, 1991.

Asymptotic behavior of high order differences of the partition function, (with C. Knessl), Comm. Pure Appl. Math., 44, 1033- 1045, 1991.

Surface tension (with A. King and G.J. Merchant), Of Fluid Mechanics and Related Matters, Proceedings of a Symposium Honoring
John Miles on his Seventieth Birthday
, R. Salmon and D. Betts, eds., Scripps Institute of Oceanography, U.C.S.D., 1991, 161-168.

Free surface flow around a ship, (with J.-M. Vanden-Broeck), Mathematical Approaches in Hydrodynamics, Touvia Miloh, ed.,
SIAM, Philadelphia, 1991, 289-299.

Contact Angles, (with G.J. Merchant), Phys. Fluids A 4, 477-485, 1992.

A finite element method for domains with corners, (with D. Givoli and L. Rivkin), Int. J. Num. Meth. Eng., 35, 1329-1345, 1992.

Stability of rotating shear flows in shallow water, (with C. Knessl), J. Fluid Mech., 244, 605-614, 1992.

Diffraction of Acoustic Waves from Material Discontinuities, (with P. Barbone) Flow-Structure and Flow-Sound Interactions,
Proceedings of the 1992 Symposium on Flow-Induced Vibration and Noise, ASME Press, New York, T.M. Farabee and M.P Païdoussis, eds.

The shape of a Möbius band, (with L. Mahadevan), Proc. Roy. Soc. Lond. A 440, 149-162, 1993.

Drop evaporation through a thin membrane, (with H.L. Frisch), J. Colloid and Interface Science, 155, 262-263, 1993.

Phase fronts in reaction-diffusion problems, Emerging applications in free boundary problems, J. Chadam and H. Rasmussen, eds.,
Wiley, New York, 24-28, 1993.

Singularities of semilinear waves, (with L. Ting), Comm. Pure Appl. Math., 46, 341-352, 1993.

The stability of growing or evaporating crystals, (with R. Ghez and H.G. Cohen), J. Appl. Phys., 73, 3685-3693, 1993.

The stability of rapidly growing or evaporating crystals, (with G.J. Merchant and H.G. Cohen), J. Appl. Phys., 73, 3694-3697, 1993.

Strong localized perturbations of eigenvalue problems, (with M. J. Ward), SIAM J. Appl. Math., 53, 770-798, 1993.

Summing logarithmic expansions for singularly perturbed eigenvalue problems, (with M.J. Ward and W.D. Henshaw),
SIAM J. Appl. Math
. 53, 799-828, 1993.

Stresses in narrow regions, J. Appl. Mech., 60, 1054-1056, 1993.

Front interaction and nonhomogeneous equilibria for tri-stable reaction-diffusion equations, (with J. Rubinstein and P. Sternberg),
SIAM J. Appl. Math.
, 53, 1669-1685, 1993.

Asymptotic evaluation of oscillatory sums, (with C. Knessl), Euro. J. Appl. Math., 4, 361-380, 1993.

Asymptotic and numerical results for blowing-up solutions to semilinear heat equations, (with J. Lowengrub), Singularities in Fluids,
Plasmas and Optics
, R.E. Caflisch and G.C. Papanicolaou, eds., Kluwer 1993, 111-129.

Removing small features from computational domains, J. Comp. Phys., 113, 148-150, 1994.

Eulerian number asymptotics (with E. Giladi). Proc. Royal Soc. A, 445, 291-303, 1994.

Nonreflecting boundary conditions (with M. Grote), Anniversary Volume, DCAMM, Technical Univ. of Denmark,
Lyngby, Denmark, October 1994, 47-54.

Optimal Pricing of Scarce Natural Resources, (with P.S. Hagan, D.E. Woodward and R.E. Caflish), Appl. Math. of Finance, 1, 87-108, 1994.

A Characterization of the Poisson Distribution and the Probability of Winning a Game, Am. Stat., 48, pages 294-298, 1994.

Special finite elements for use with high order boundary conditions (with D. Givoli), Comp. Meth. Appl. Mech. and Eng., 199, 199-213, 1994.

Range of the first two eigenvalues of the Laplacian, (with S. A. Wolf), Proc. Royal Soc. A, 447, 397-412, 1994.

Blob Formation, (with A. King and L. Ting), Phys. of Fluids, 7, 226-228, 1995.

Exact non-reflecting boundary condition for the time dependent wave equation, (with Marcus Grote), SIAM J. Appl. Math. 55, 280-297, 1995.

How many shuffles to mix a deck?, SIAM Review, 37, 88-89, 1995.

Rossby Waves, (with C. Knessl), Studies in Appl. Math., 94, 359-376, 1995.

Short acoustic, electromagnetic and elastic waves in random media, (with W. Boyse), J. Opt. Soc. Amer. A, 12, 380-389, 1995.

Wave propagation, Proc. Int'l. Cong. Math., Zurich 1994.

Asymptotic methods for partial differential equations: the reduced wave equation and Maxwell's equations, (with R.M. Lewis),
Surveys in Applied Mathematics, edited by J.B. Keller, G. Papanicolau, and D. McLaughlin, Plenum Publishing, NY, 1995.

Stability of linear shear flows in shallow water, (with C. Knessl), J. Fluid Mech., 303, 203-214, 1995.

A Hybrid Asymptotic-Numerical Method for Calculating Low Reynolds Number Flows Past Symmetric Cylindrical Bodies,
(with M.C.A. Kropinski and M.J. Ward), SIAM J. Appl. Math.55,1484-1510, 1995.

Periodic Folding of Thin Sheets, (with L. Mahadevan), SIAM J.  Appl. Math.,55, 1609-1624, 1995.

On nonreflecting boundary conditions, (with M. Grote), J. Comp. Phys., 122, 231-243, 1995.

Asymptotics beyond all orders for a low Reynolds number flow, (with M. Ward), J. Eng. Math., 30, 253-265, 1996.

Coiling of Flexible Ropes, (with L. Mahadevan), Proc. Royal Soc. A, 452, 1679-1694, 1996.

Nonreflecting Boundary Conditions for Time Dependent Scattering, (with M. Grote), J. Comp. Phys., 127, 52-65, 1996.

Stability of the P to S energy ratio in the diffusive regime (with G. Papanicolaou and L. Ryzhik), Bulletin of the Seismological
Soc. of Amer.
, 86, 1107-1115, 1996.

Turbulent diffusion in a Gaussian velocity field, 1996 Summer Study Program in Geophysical Fluid Dynamics,
Woods Hole Oceanographic Institution, 1996.

Exact boundary conditions on artificial boundaries, Proc. 3rd Hellenic-European Conf. on Math. and Informatics,
Sept. '96, Athens, Greece, 75-88.

Three dimensional water waves (with P. Milewski), Studies in Appl. Math., 97, 149-166, 1996.

Transport equations for elastic and other waves in random media (with G. Papanicolaou, L. Ryzhik), Wave Motion, 24, 327-370, 1996

Advection-diffusion past a strip I. Normal Incidence. (with C. Knessl), J.  Math. Phys., 38, 267-282, 1997.

Advection-diffusion past a strip II. Oblique Incidence. (with C. Knessl), J.  Math. Phys., 38, 902-925, 1997.

High Order Boundary Conditions and Finite Elements for Infinite Domains, (with D. Givoli and I. Patlashenko),
Comp. Meth. Appl. Mech. Eng.
, 143, 13-39, 1997.

Axisymmetric free surface with a 120 tex2html_wrap_inline970 angle along a circle, (with J.-M. Vanden Broeck), J. of Fluid Mech., 342, 403-409, 1997.

Boundary and initial boundary-value problems for separable backward-forward parabolic problems, (with H.F.Weinberger),
J. Math. Phys.
, 38, p. 4343-53, 1997.

Iterative solution of elliptic problems by approximate factorization, (with E. Giladi), J. Comp. and Appl. Math., 85, 287-313, 1997.

Transport Equations for Waves in a Half Space, (with L. Ryzhik and G. Papanicolaou), Comm. P.D.E., 22, 1869-1910, 1997.

Homogenization of rough boundaries and interfaces (with J. Nevard), SIAM J. Appl. Math. , 57, 1660-1686, 1997.

Large Deviation Theory for Stochastic Difference Equations, (with R. Kuske), Euro. J. Appl. Math., 8, 567-580, 1997.

Nonreflecting Boundary Conditions for Maxwell's Equations (with M. Grote), J. Comp. Phys. 139, 327-342, 1998.

Inner and outer iterations for the Chebyshev algorithm (with E. Giladi and G. Golub), SIAM J.  Num. Anal., 35, 300, 1998.

Singularities on free surfaces of fluid flows (with P. Milewski and J.-M. Vanden-Broeck), Studies in Appl. Math., 100, 245-267, 1998.

Gravity waves on ice-covered water, J. Geophys. Res.- Oceans, 103, C-4, 7663-7669, 1998.

Advection-diffusion around a curved obstacle (with D. Ahluwalia and C. Knessl) J. Math. Phys., 39, 3694-3710, 1998.

Optimal exercise boundary for an American put option, (with R. Kuske), Appl. Math. Fin., 5, 107-116, 1998.

Weak Shock Diffraction and Singular Rays, (with L. Ting), ZAMM, 78, Suppl. 2, S767-770, 1998.

Discrete Dirichlet-to-Neumann maps for unbounded domains, (with D. Givoli and I. Patlashenko), Comp. Meth. Appl.
Mech. & Eng.
, 164, 173-185, 1998.

Surface tension force on a partially submerged body, Phys. of Fluids, 10, 3009-3010, 1998.

Singularities at the tip of a plane angular sector, J. Math. Phys., 40, 1087-1092, 1999.

Transport Theory for acoustic waves with reflection and transmission at interfaces (with G. Papanicolaou, G. Bal, L. Ryzhik)
Wave Motion
30, 303-327, 1999.

Variability of effective parameters, J. Applied Physics 86 (6), 3408-3409, 1999.

Ray solution of a backward-forward parabolic problem for data handling systems (with C. Knessl) Euro. J. Appl. Math. 11, Part 1, 1-12, 2000.

Probability of Brownian motion hitting an obstacle (with C. Knessl) SIAM J. Appl. Math., 60, 729-745, 2000.

Exact nonreflecting boundary conditions for elastic waves, (with M. Grote) SIAM J. Appl. Math., 60, 803-819, 2000.

Optimal running strategy to escape from pursuers, Amer. Math. Monthly, 416-421, (May) 2000.

Singularities and Rayleigh's hypothesis for diffraction gratings, J. Optical Soc. Amer. A 17, 456-457, 2000.

Merging and wetting driven by surface tension, (with P. Milewski, J.-M. Vanden-Broeck), Eur. J. Mech. B - Fluids, 19, 491-502, 2000.

A hyperbolic equation for turbulent diffusion (with S. Ghosal), Nonlinearity, 13, 1855-1866, 2000.

Rate of convergence to a stable law, (with R. Kuske), SIAM J. Appl. Math., 61, 1308-1323, 2000.

Weak diffracted shocks near singular rays, (with L. Ting) Methods and Applications of Analysis, 7, 565-576, 2000.

Unitary Correlations and the Fejer Kernel (with D. Bump and P. Diaconis), Stanford University Department of Statistics
Technical Report No. 2001-1, 2001.

Depolarization and blurring of optical images by biological tissues, (with M. Moscoso and G. Papanicolaou), JOSA-A, 18, 948-960, 2001.

Flow in random porous media, Transport in porous media, 43, 395-406, 2001.

Capillary wave drag, (with S.-M. Sun) Phys. of Fluids, 13, 2146-2152, 2001.

Optical polarization imaging in biological tissue (with M. Moscoso and G. Papanicolaou), Proc. Int. Conf. Optical Tomography
and Spectroscopy of Tissue
IV, SPIE, 2001.

A hybrid numerical asymptotic method for scattering problems, (with E. Giladi) J. Comp. Phys. 174, 226-247 (2001).

American options with dividends near expiry, (with R. Kuske and J.D. Evans), Mathematical Finance, (in press).

Breaking and merging of liquid sheets and filaments, (with P. Milewski and J.-M. Vanden-Broeck) J. Eng. Math. (submitted 10/4/01).
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