On random attractors for mixing type systems

S. B. Kuksin; A. Shirikyan

doi:10.1023/B:FAIA.0000024865.78811.11

On random attractors for mixing type systems

S. B. Kuksin, A. Shirikyan

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	28-37
Number of pages	10
Journal	Functional Analysis and its Applications
Volume	38
Issue number	1
DOIs	https://doi.org/10.1023/B:FAIA.0000024865.78811.11
Publication status	Published - Jan 2004

Keywords

2D Navier-Stokes equations
Invariant measure
Mixing type system
Random attractor
Stationary measure

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AB - 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.

KW - 2D Navier-Stokes equations

KW - Invariant measure

KW - Mixing type system

KW - Random attractor

KW - Stationary measure

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