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math.AP2020★ 1 cited
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 -cube , is arbitrary, under Dirichlet boundary conditions \[ u_t-νΔu+i|u|^2u=\sqrt…
math.AP2014★ 1 cited
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials
Guan Huang, Sergei Kuksin, Alberto Maiocchi
Consider weakly nonlinear complex Ginzburg--Landau (CGL) equation of the form: under the periodic boundary…