Applied Math Seminar
Spring Quarter 2001
3:15 - 4:15 p.m.
Sloan Mathematics Corner
Building 380, Room 380-C

Friday, April 13, 2001

Leonid I. Piterbarg
Department of Mathematics
University of Southern California

The Lyapunov exponent for a stochastic flow
modeling the upper ocean turbulence

Abstract:

A non-Brownian stochastic flow in two dimensions is considered realistically describing the meso-scale oceanic turbulence. An explicit expression for the top Lyapunov exponent is found in terms of the model parameters: Lagrangian correlation time, Eulerian velocity correlation radius, and variance of velocity fluctuations. The problem of the Lagrangian motion predictability is discussed based on theoretical conclusions and stochastic simulations.

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