On invariant measures for Hamiltonian PDEs

Thursday, May 9, 2013 - 10:30am - 12:00pm
Lind 305
Vladimir Sverak (University of Minnesota, Twin Cities)
A natural first impression is that the dynamics in infinite dimensions should be more complicated than the dynamics in finite dimensions. This is true in some respects, but at the same time the infinite dimension can potentially simplify the macroscopic behavior, in a way similar to the simplifications conjectured by the ergodic hypothesis for many classical systems of Statistical Mechanics. Ergodicity-type assumptions are notoriously difficult to prove or disprove (and we have nothing new to say in this direction) , but there are many other interesting questions, some of which we will address. The talk will be based on joint works with Nathan Glatt-Holtz and Vlad Vicol, and with Geordie Richards and Ofer Zeitouni.