Ergodicity for a class of Markov processes and applications torandomly forced PDE'S. II
Ergodicity for a class of Markov processes and applications torandomly forced PDE'S. II
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DOI：
10.3934/dcdsb.2006.6.911
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发表时间：
2006-04
影响因子：
1.2
通讯作者：
A. Shirikyan
中科院分区：
文献类型：
--
作者：
A. Shirikyan
研究了受外力扰动的复Ginzburg-Landau(CGL)方程的遍历性问题。我们证明了文[22]中建立的一个简单的一般结果的条件对所讨论的方程是成立的。证明了相应的马尔可夫过程族具有唯一的平稳分布，且平稳分布具有混合性。这篇论文的结果是在与Sergei Kuksin[14]的联合工作中公布的。
The paper is devoted to studying the problem of ergodicity for the complex Ginzburg--Landau (CGL) equation perturbed by an external random force. We show that the conditions of a simple general result established in [22] are fulfilled for the equation in question. As a consequence, we prove that the corresponding family of Markov processes has a unique stationary distribution, which possesses a mixing property. The result of this paper was announced in the joint work with Sergei Kuksin [14].