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math-ph2019
On the Zakharov-L'vov stochastic model for wave turbulence
Andrey Dymov, Sergei Kuksin
In this note we present the main results of the papers \cite{DK, DK2}, dedicated to rigorous study of the limiting properties of the stochastic model for wave turbulence due to Zak…
math-ph2019★ 1 cited
Formal expansions in stochastic model for wave turbulence 1: kinetic limit
Andrey Dymov, Sergei Kuksin
We consider the damped/driver (modified) cubic NLS equation on a large torus with a properly scaled forcing and dissipation, and decompose its solutions to formal series in the amp…
math-ph2019
Formal expansions in stochastic model for wave turbulence 2: method of diagram decomposition (complete version)
Andrey Dymov, Sergei Kuksin
In this paper we continue to study small amplitude solutions of the damped cubic NLS equation, driven by a random force (the study was initiated in our previous work [A.Dymov, S.Ku…