Stochastic CGL equations without linear dispersion in any space dimension

DOI10.1007/s40072-013-0010-6zbMath1287.60093arXiv1205.0755OpenAlexW2061833174MaRDI QIDQ378030

Vahagn Nersesyan, Sergej B. Kuksin

Publication date: 20 November 2013

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0755

zbMATH Keywords

Markov processmixingrandom forcecomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

Random fields (60G60) Continuous-time Markov processes on general state spaces (60J25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (9)

Local large deviations principle for occupation measures of the stochastic damped nonlinear wave equation ⋮ Irreducibility and strong Feller property for stochastic evolution equations in Banach spaces ⋮ Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise ⋮ On the unique ergodicity for a class of 2 dimensional stochastic wave equations ⋮ Large deviations and mixing for dissipative PDEs with unbounded random kicks ⋮ Exponential mixing for the white-forced damped nonlinear wave equation ⋮ Exponential mixing for a class of dissipative PDEs with bounded degenerate noise ⋮ Resonant averaging for weakly nonlinear stochastic Schrödinger equations ⋮ On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation

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