Location: HILL 705
Date & time: Tuesday, 17 October 2017 at 1:40PM - 2:40PM
Abstract: Weak turbulence is the non-equilibrium statistical mechanics of weakly non-linear waves. The most attractive feature of the theory of wave turbulence, as it has developed since the 60’s, is the derivation of a kinetic equation, known as the kinetic wave equation. In this talk I will consider wave turbulence theory for the nonlinear Schrodinger equation on a torus of size L and for solutions of size \(\varepsilon\). I will discuss the long time dynamics of solutions as \(\varepsilon \rightarrow 0\) (weak nonlinearity) and L , \(\rightarrow \infty\) (large box limit). I will also discuss the latest advances on deriving the kinetic equation.