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

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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.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

    Yong Zhou

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  1. Yong Zhou
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Correspondence to Yong Zhou.

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Mathematics Subject Classification (2000): 35B45, 35B65, 76D05

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Zhou, Y. Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain. Math. Ann. 328, 173–192 (2004). https://doi.org/10.1007/s00208-003-0478-x

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  • DOI: https://doi.org/10.1007/s00208-003-0478-x

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