On The Energy Transfer To High Frequencies In The Damped/Driven Nonlinear Schrödinger Equation (Extended Version)

Guan Huang, Sergei Kuksin

We consider a damped/driven nonlinear Schrödinger equation in an $n$-cube $K^n\subset {\mathbb{R}}^n$, $n$ is arbitrary, under Dirichlet boundary conditions \[ u_t-νΔu+i|u|^2u=\sqrt…