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

2006/09/14 by Vahagn Nersesyan, Nersesyan, Vahagn
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0609041

arxiv created 2006/09/14 · arxiv updated 2009/12/01

Abstract

In this paper we study the problem of ergodicity for the complex Ginzburg--Landau 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.

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