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math.AP2021★ 7 cited
The large-period limit for equations of discrete turbulence
Andrey Dymov, Sergei Kuksin, Alberto Maiocchi +1
We consider the damped/driven cubic NLS equation on the torus of a large period with a small nonlinearity of size , a properly scaled random forcing and dissipation. We exam…
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…