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2012 A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space
Xunwu Yin
Abstr. Appl. Anal. 2012: 1-9 (2012). DOI: 10.1155/2012/184674

Abstract

This paper is concerned with the regularity of Leray weak solutions to the 3D Navier-Stokes equations in Lorentz space. It is proved that the weak solution is regular if the horizontal velocity denoted by u ̃ = ( u 1 , u 2 , 0 ) satisfies u ̃ ( x , t ) L q ( 0 , T ; L p , ( R 3 ) ) for 2 / q + 3 / p = 1 , 3 < p < ∞. The result is obvious and improved that of Dong and Chen (2008) on the Lebesgue space.

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Xunwu Yin. "A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space." Abstr. Appl. Anal. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/184674

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1247.35113
MathSciNet: MR2965449
Digital Object Identifier: 10.1155/2012/184674

Rights: Copyright © 2012 Hindawi

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