### Infinite volume limit for the Nonlinear Schrodinger Equation and Weak Turbulence

- Series
- PDE Seminar
- Time
- Tuesday, December 2, 2014 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Pierre Germain – 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.