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Global attractors for 3-dimensional stochastic Navier-Stokes equations

Cutland, N.J. and Keisler, H.J. (2004) Global attractors for 3-dimensional stochastic Navier-Stokes equations. Journal of Dynamics and Differential Equations, 16 (1). pp. 205-266. ISSN 1572-9222

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Abstract

Sell''s approach 35 to the construction of attractors for the Navier-Stokes equations in 3-dimensions is extended to the 3D stochastic equations with a general multiplicative noise. The new notion of a process attractor is defined as a set A of processes, living on a single filtered probability space, that is a set of solutions and attracts all solution processes in a given class. This requires the richness of a Loeb probability space. Non-compactness results for A and a characterization in terms of two-sided solutions are given.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 24 Apr 2009 09:10
Last Modified: 24 Apr 2009 09:10
Published Version: http://dx.doi.org/10.1023/B:JODY.0000041286.51881....
Status: Published
Publisher: Springer
Identification Number: 10.1023/B:JODY.0000041286.51881.39
URI: http://eprints.whiterose.ac.uk/id/eprint/6546

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