Infinite volume limit for the Nonlinear Schrodinger Equation and Weak Turbulence

Series: 
PDE Seminar
Tuesday, December 2, 2014 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Courant Institute
Abstract: the theory of weak turbulence has been put forward by appliedmathematicians to describe the asymptotic behavior of NLS set on a compactdomain - as well as many other infinite dimensional Hamiltonian systems.It is believed to be valid in a statistical sense, in the weaklynonlinear, infinite volume limit. I will present how these limits can betaken rigorously, and give rise to new equations.