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Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations

Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations
Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations
The incompressible and viscous fluid motion, governed by the evolutionary Navier-Stokes equations, is studied focusing on the application of Morrey space techniques to the interior regularity problem first posed by Serrin (1962 Arch. Rational Mech. Anal. 9 187-95) and later by Struwe (1988 Commun. Pure Appl. Math.41437-58). A new interior regularity criterion is derived within the framework of Morrey spaces, which contain Lp(Lq) spaces used in the previously quoted references.
0951-7715
1453-1472
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Chen, Zhi-Min and Price, W.G. (2001) Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Nonlinearity, 14 (6), 1453-1472. (doi:10.1088/0951-7715/14/6/303).

Record type: Article

Abstract

The incompressible and viscous fluid motion, governed by the evolutionary Navier-Stokes equations, is studied focusing on the application of Morrey space techniques to the interior regularity problem first posed by Serrin (1962 Arch. Rational Mech. Anal. 9 187-95) and later by Struwe (1988 Commun. Pure Appl. Math.41437-58). A new interior regularity criterion is derived within the framework of Morrey spaces, which contain Lp(Lq) spaces used in the previously quoted references.

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Published date: 2001

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Local EPrints ID: 21787
URI: http://eprints.soton.ac.uk/id/eprint/21787
ISSN: 0951-7715
PURE UUID: fd79f85d-fb24-4495-ae46-555e15f5b2ec

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Date deposited: 14 Mar 2006
Last modified: 07 Jan 2022 22:10

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Author: Zhi-Min Chen
Author: W.G. Price

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