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SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP

Published online by Cambridge University Press:  01 September 2007

SERGEY ZELIK
SERGEY ZELIK*
Affiliation:
Department of Mathematics, University of Surrey Guildford, GU2 7XH, United Kingdom e-mail: s.zelik@surrey.ac.uk
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Abstract

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The weighted energy theory for Navier-Stokes equations in 2D strips is developed. Based on this theory, the existence of a solution in the uniformly local phase space (without any spatial decaying assumptions), its uniqueness and the existence of a global attractor are verified. In particular, this phase space contains the 2D Poiseuille flows.

Keywords

35Q3037L3076D0376D05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007 , pp. 525 - 588
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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