Polynomial mixing for the complex Ginzburg-Landau equation perturbed by a random force at random times

DOI10.1007/s00028-007-0314-yzbMath1145.35323arXivmath-ph/0609041OpenAlexW2076314242MaRDI QIDQ2425808

Vahagn Nersesyan

Publication date: 7 May 2008

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0609041

zbMATH Keywords

complex Ginzburg-Landau equationpolynomial mixingproblem of ergodicityrandom kick-force

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60)

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Stochastic CGL equations without linear dispersion in any space dimension ⋮ Polynomial mixing of a stochastic wave equation with dissipative damping ⋮ On the unique ergodicity for a class of 2 dimensional stochastic wave equations ⋮ Exponential ergodicity and regularity for equations with Lévy noise ⋮ Exponential mixing of 2D SDEs forced by degenerate Lévy noises ⋮ Exponential mixing under controllability conditions for \textsc{sde}s driven by a degenerate Poisson noise ⋮ Irreducibility and exponential mixing of some stochastic hydrodynamical systems driven by pure jump noise ⋮ Ergodicity of Stochastic Shell Models Driven by Pure Jump Noise

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