Dynamical Systems and Probabilistic Methods in Partial Differential Equations

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. 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-de Vries equations
* problems in fluid mechanics and the limits of physically motivated heuristic theories of fluids