期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 134, 期 1, 页码 149-156出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-05-08312-7
关键词
Navier-Stokes equations; regularity criterion; integrability of pressure; a priori estimates
In this paper we establish a Serrin-type regularity criterion on the gradient of pressure for the weak solutions to the Navier-Stokes equations in R-3. It is proved that if the gradient of pressure belongs to L-alpha,L-gamma with 2/alpha + 3/gamma <= 3, 1 <= gamma <= infinity, then the weak solution is actually regular. Moreover, we give a much simpler proof of the regularity criterion on the pressure, which was showed recently by Berselli and Galdi.
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