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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 1, Pages 34–46
DOI: https://doi.org/10.4213/faa94 (Mi faa94) 		 
This article is cited in 17 scientific papers (total in 17 papers)

On Random Attractors for Mixing Type Systems

S. B. Kuksinab, A. R. Shirikyana

a Heriot Watt University
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (238 kB) Citations (17)
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DOI: https://doi.org/10.4213/faa94
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.
Received: 02.09.2002
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 1, Pages 28–37
DOI: https://doi.org/10.1023/B:FAIA.0000024865.78811.11
Bibliographic databases:
Document Type: Article
UDC: 517.95+517.946
Language: Russian
Citation: S. B. Kuksin, A. R. Shirikyan, “On Random Attractors for Mixing Type Systems”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 34–46; Funct. Anal. Appl., 38:1 (2004), 28–37
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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