Open Access

Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure

Journal of Inequalities and Applications20082008:412678

https://doi.org/10.1155/2008/412678

Received: 26 June 2008

Accepted: 14 October 2008

Published: 20 October 2008

Abstract

We prove a regularity criterion for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with .

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Authors’ Affiliations

(1)
Department of Applied Mathematics, Nanjing Forestry University
(2)
Department of Applied Physics, Waseda University

Copyright

© J. Fan and T. Ozawa. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.