11 citations · 30 across the 9 of their papers we have counts for
12 papers
Kinetic approximation for equations of discrete turbulence in the subcritical case
Andrey Dymov
We consider a damped/driven cubic NLS equation on a torus under the limit when first the amplitude of solutions goes to zero and then the period of the torus goes to infinity. We s…
Strict Lyapunov functions and energy decay in Hamiltonian chains with degenerate damping
Andrey Dymov, Lev Lokutsievskiy, Andrey Sarychev
We consider a Hamiltonian chain of rotators (in general nonlinear) in which the first rotator is damped. Being motivated by problems of nonequilibrium statistical mechanics of crys…
Asymptotic expansions for a class of singular integrals emerging in non-linear wave systems
Andrey Dymov
We find asymptotical expansions as for integrals of the form , where sufficiently smooth functions and sati…
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…
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…
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…