Infinite volume limit for the Nonlinear Schrodinger Equation and Weak turbulence

Speaker: 
Pierre Germain , NYU
Date: 
Nov 13 2014 - 4:30pm
Event type: 
Analysis of Fluids and Related Topics
Room: 
Fine 322
Abstract: 

The theory of weak turbulence has been put forward by applied mathematicians to describe the asymptotic behavior of NLS set on a compact domain - as well as many other infinite dimensional Hamiltonian systems. It is believed to be valid in a statistical sense, in the weakly nonlinear, infinite volume limit. I will present how these limits can be taken rigorously, and give rise to new equations.