06-221 Vahagn Nersesyan

Polynomial mixing for the complex Ginzburg--Landau equation perturbed by a random force at random times (341K, PDF ) Aug 13, 06

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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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