Ergodicity for a class of Markov processes and applications to
randomly forced PDE'S. II
Armen Shirikyan - Laboratoire de Mathématiques, Université de Paris-Sud XI, Bâtiment 425, 91405 Orsay Cedex, France (email)
Abstract: 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  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 .
Keywords: Ergodicity, stationary measure, complex Ginzburg-Landau equation.
Received: March 2005; Revised: November 2005; Published: April 2006.
2014 5-year IF.957