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Optimal control for 3D stochastic Navier-Stokes equations

Cutland, N.J. and Grzesiak, K. (2005) Optimal control for 3D stochastic Navier-Stokes equations. Stochastics, 77 (5). pp. 437-454. ISSN 1744-2516

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Loeb space methods are used to prove existence of an optimal control for general 3D stochastic Navier-Stokes equations with multiplicative noise. The possible non-uniqueness of the solutions mean that it is necessary to utilize the notion of a non-standard approximate solution developed in the paper by NJ Cutland and Keisler HJ 2004, Global attractors for 3-dimensional stochastic Navier-Stokes equations, Journal of Dynamics and Differential Equations, pp. 16205-16266, for the study of attractors.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 14 May 2009 15:55
Last Modified: 14 May 2009 15:55
Published Version: http://dx.doi.org/10.1080/17442500500236715
Status: Published
Publisher: Taylor & Francis
Identification Number: 10.1080/17442500500236715
URI: http://eprints.whiterose.ac.uk/id/eprint/7549

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