Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 412678, 6 pages
Research Article

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

Jishan Fan1 and Tohru Ozawa2

1Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
2Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan

Received 26 June 2008; Accepted 14 October 2008

Academic Editor: Michel Chipot

Copyright © 2008 Jishan Fan and Tohru Ozawa. 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.


We prove a regularity criterion πL2/3(0,T;BMO) for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with L2/3(0,T;L).