48 citations · 180 across the 33 of their papers we have counts for
13 papers · 1 filter
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 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…
Mixing via controllability for randomly forced nonlinear dissipative PDEs
Sergei Kuksin, Vahagn Nersesyan, Armen Shirikyan
We continue our study of the problem of mixing for a class of PDEs with very degenerate noise. As we established earlier, the uniqueness of stationary measure and its exponential s…
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise
Sergei Kuksin, Vahagn Nersesyan, Armen Shirikyan
We study a class of discrete-time random dynamical systems with compact phase space. Assuming that the deterministic counterpart of the system in question possesses a dissipation p…
Introduction à l'équation de Burgers stochastique et à la burgulence
Takfarinas Kelaï, Sergei Kuksin
This paper is an introduction to the theory of 1d stochastic Burgers equation under periodic boundary conditions and with a stochastic force, sufficiently smooth in the space varia…
KAM for the nonlinear beam equation 1: small-amplitude solutions
Hakan L. Eliasson, Benoit Grebert, Sergei B. Kuksin
In this paper we prove a KAM result for the non linear beam equation on the d-dimensional torus $$u_{tt}+Δ^2 u+m u + g(x,u)=0\ ,\quad t\in { \mathbb{R}} , \; x\in {\mathbb T}^d, \q…