November/December 2010 Regularity criteria in weak spaces for $3$-dimensional Navier-Stokes equations in terms of the pressure
Zhihui Cai, Jishan Fan, Jian Zhai
Differential Integral Equations 23(11/12): 1023-1033 (November/December 2010). DOI: 10.57262/die/1356019071

Abstract

In this paper we consider the Cauchy problem for the $3$-dimensional Navier-Stokes equations and we establish some Serrin-type regularity criterion in weak spaces involving the summability of the pressure or the gradient of the pressure.

Citation

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Zhihui Cai. Jishan Fan. Jian Zhai. "Regularity criteria in weak spaces for $3$-dimensional Navier-Stokes equations in terms of the pressure." Differential Integral Equations 23 (11/12) 1023 - 1033, November/December 2010. https://doi.org/10.57262/die/1356019071

Information

Published: November/December 2010
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35380
MathSciNet: MR2742476
Digital Object Identifier: 10.57262/die/1356019071

Subjects:
Primary: 35B65 , 35Q30 , 76D05

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.23 • No. 11/12 • November/December 2010
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