Workshop on Kinetic Theory and Gas Dynamics July 8–28, 2012

Schedule:

Friday, July 20
Time Speaker Title and Abstract
2:30–3:10 Shigeru Takata
(Kyoto University)

“Symmetry relation for the linearized Boltzmann system and its applications”
Thursday, July 19
Time Speaker Title and Abstract
10:00–10:40 Seung Yeal Ha
(Seoul National University)

“Some mathematical problems arising from the Kuramoto model”
11:00–11:40 Shinya Nishibata

TBA
2:30–3:10 Tai-Ping Liu
(Stanford University and Academia Sinica)

“Boundary Relation for Dissipative Wave Equations”
3:30–4:10 Myoungjean Bae
(Pohang University of Science and Technology—POSTECH)

“Self-similar weak shock past a 2D wedge” Part 2

I will discuss about the existence of self-similar weak shock past a 2D wedge for all admissible physical parameters. This is based on joint work with Gui-Qiang Chen and Mikhail Feldman.
Tuesday, July 17
Time Speaker Title and Abstract
10:00–10:40 Myoungjean Bae
(Pohang University of Science and Technology—POSTECH)

“Self-similar weak shock past a 2D wedge”

I will discuss about the existence of self-similar weak shock past a 2D wedge for all admissible physical parameters. This is based on joint work with Gui-Qiang Chen and Mikhail Feldman.
11:00–11:40 Shijin Deng
(Shanghai Jiao Tong University)

“Bifurcation of linear Broadwell model in half space with conservative boundary condition”
2:30–3:10 Razvan Fetecau
(Simon Fraser University)

“Nonlocal PDE models for self-organization of biological groups”
3:30–4:10 Shigeru Takata
(Kyoto University)

“Singular beavior of a rarefied gas on a planar boundary”
4:20–5:00 Jin-Cheng Jiang
(Ching-Hua University)

“Boltzmann equation for an infinite range potential”

We will discuss some fundamental issues about the collision operator of Boltzmann equation for an infinite range potential.

Thursday, July 12
Time Speaker Title and Abstract
10:00–10:40 Volker Elling
(University of Michigan)

“Steady self-similar flows”

We consider genuinely multi-dimensional wave interactions in compressible inviscid flow. Many flows, such as regular or Mach reflection, feature distinguished interaction points, with fluid variables approximately constant along rays in a neighbourhood of the point. This leads to the study of flows that are both steady and self-similar. We focus on the case of L∞-closeness to a constant supersonic background state.

We prove that such flows must be BV and obtain strong constraints on the possible wave combinations. As a by-product we obtain a proof that solutions of classical 1-d Riemann problems are unique in the class of self-similar L∞ flows.

(Joint work with Joseph Roberts.)

11:00–11:40 Jin-Cheng Jiang
(Ching-Hua University)

“Boltzmann equation for an infinite range potential”

We will discuss some fundamental issues about the collision operator of Boltzmann equation for an infinite range potential.

2:30–3:10 Hung-Wen Kuo
(Academia Sinica)

“Free Molecular Flow with Maxwell-type boundary condition”
3:10–3:50 Kung-Chien Wu
(Cambridge and Academia Sinica)

“Green function for the BGK model on tours”
4:20–5:00 Tzu-Wei Yang
(Stanford)

“Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law”
Future talks
TBA Seung Yeal Ha
(Seoul National University)

“Some mathematical problems arising from the Kuramoto model”