**Lectures in Applied Mathematics**

Volume: 31;
1996;
268 pp;
Softcover

MSC: Primary 58;
Secondary 34; 35

**Print ISBN: 978-0-8218-0368-4
Product Code: LAM/31**

List Price: $38.00

AMS Member Price: $30.40

MAA Member Price: $34.20

# Dynamical Systems and Probabilistic Methods in Partial Differential Equations

Share this page *Edited by *
*Percy Deift; C. David Levermore; C. Eugene Wayne*

This volume contains some of the lectures presented in
June 1994 during the AMS-SIAM Summer Seminar at the Mathematical
Sciences Research Institute in Berkeley. The goal of the seminar was
to introduce participants to as many interesting and active
applications of dynamical systems and probabilistic methods to problems
in applied mathematics as possible. As a result, this book covers a
great deal of ground. Nevertheless, the pedagogical orientation of the
lectures has been retained, and therefore the book will serve as an
ideal introduction to these varied and interesting topics.

Among the themes explored in this volume are the
following:

- the increasing role of dynamical systems theory in understanding partial differential equations
- the central importance of certain prototypical equations, such as the complex Ginzburg-Landau, nonlinear Schrödinger, and Korteweg-deVries equations
- problems in fluid mechanics and the limits of physically motivated heuristic theories of fluids
- the role of probabilistic methods in studying turbulent phenomena

#### Readership

Researchers in applied mathematics.