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  • Research Article
  • 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

  • Received: 26 June 2008
  • Accepted: 14 October 2008
  • Published:


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


  • Weak Solution
  • Full Article
  • Publisher Note
  • Regularity Criterion

Publisher note

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Authors’ Affiliations

Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, China
Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan


© 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.