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Global solutions of the Navier-Stokes equations in thin three-dimensional domains

Global solutions of the Navier-Stokes equations in thin three-dimensional domains
Global solutions of the Navier-Stokes equations in thin three-dimensional domains
This paper is concerned with the spatially periodic Navier–Stokes equations in a thin three-dimensional domain. It is shown that the classical solution exists globally when the initial velocityu0and the external forcefare chosen in the set significantly larger than those presented in earlier works. What is more, it is shown that these global solutions, which seem large in a function space, are small in nature.
0022-247X
681-697
Chen, Zhi-MIn
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Zhi-MIn
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Chen, Zhi-MIn (1999) Global solutions of the Navier-Stokes equations in thin three-dimensional domains. Journal of Mathematical Analysis and Applications, 233 (2), 681-697. (doi:10.1006/jmaa.1999.6329).

Record type: Article

Abstract

This paper is concerned with the spatially periodic Navier–Stokes equations in a thin three-dimensional domain. It is shown that the classical solution exists globally when the initial velocityu0and the external forcefare chosen in the set significantly larger than those presented in earlier works. What is more, it is shown that these global solutions, which seem large in a function space, are small in nature.

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Published date: 15 May 1999
Organisations: Fluid Structure Interactions Group

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Local EPrints ID: 204455
URI: http://eprints.soton.ac.uk/id/eprint/204455
ISSN: 0022-247X
PURE UUID: c9f761dc-1f61-4199-adde-cb53c3dbfdcb

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Date deposited: 30 Nov 2011 14:13
Last modified: 16 Jul 2019 23:17

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Author: Zhi-MIn Chen

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