This article is cited in 17 papers

On Random Attractors for Mixing Type Systems

S. B. Kuksin^ab, A. R. Shirikyan<sup>a

a</sup> Heriot Watt University
^b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The paper deals with infinite-dimensional random dynamical systems. Under the condition that the system in question is of mixing type and possesses a random compact attracting set, we show that the support of the unique invariant measure is the minimal random point attractor. The results obtained apply to the randomly forced 2D Navier–Stokes system.

Keywords: invariant measure, mixing type system, random attractor, stationary measure, 2D Navier–Stokes equations.

UDC: 517.95+517.946

Received: 02.09.2002

DOI: 10.4213/faa94

 English version: Functional Analysis and Its Applications, 2004, 38:1, 28–37

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