Jonathan Mattingly, Duke University

Long term behavior of stochastic PDEs

Abstract: I will discuss stochastic dynamical systems in general. I will  show some concepts which can be be used to investigate there long time behavior.  Then I will specialize to stochastic partial differential equations and show some of the new issues which arise in infinite dimensional stochastic dynamics. I will illustrate the ideas with a number of  classical  model problems including: stochastically  perturbed reaction diffusion equations, fluid equations, and iterated maps.


Address: Department of Mathematics, Duke University Box 90320, Durham, NC 27708-0320

                 http://fds.duke.edu/db/aas/math/faculty/jonm/