Mathematische Annalen

, Volume 328, Issue 1, pp 173–192

Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain

Article

DOI: 10.1007/s00208-003-0478-x

Cite this article as:
Zhou, Y. Math. Ann. (2004) 328: 173. doi:10.1007/s00208-003-0478-x

Abstract

We consider the 3-D Navier-Stokes equations in the half-space ℝ+3, or a bounded domain with smooth boundary, or else an exterior domain with smooth boundary. Some new sufficient conditions on pressure or the gradient of pressure for the regularity of weak solutions to the Navier-Stokes equations are obtained.

Key words

Navier-Stokes equations Regularity Criterion Integrability of pressure A priori estimates 

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.The Institute of Mathematical Sciences and Department of MathematicsThe Chinese University of Hong KongN.T.Hong Kong

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