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

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.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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