Infinite volume limit for the Nonlinear Schrodinger Equation and Weak turbulence

Thu, Nov 13, 2014, 4:30 pm

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. 

Fine 322

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