Nersesyan, Vahagn Polynomial mixing for the complex Ginzburg-Landau equation perturbed by a random force at random times. (English) Zbl 1145.35323 J. Evol. Equ. 8, No. 1, 1-29 (2008). Summary: In this paper we study the problem of ergodicity for the complex Ginzburg-Landau (CGL) equation perturbed by an unbounded random kick-force. Randomness is introduced both through the kicks and through the times between the kicks. We show that the Markov process associated with the equation in question possesses a unique stationary distribution and satisfies a property of polynomial mixing. Cited in 5 Documents MSC: 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35K55 Nonlinear parabolic equations 60J25 Continuous-time Markov processes on general state spaces 35R60 PDEs with randomness, stochastic partial differential equations 35Q55 NLS equations (nonlinear Schrödinger equations) Keywords:complex Ginzburg-Landau equation; polynomial mixing; problem of ergodicity; random kick-force PDF BibTeX XML Cite \textit{V. Nersesyan}, J. Evol. Equ. 8, No. 1, 1--29 (2008; Zbl 1145.35323) Full Text: DOI arXiv