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On a regularity criterion in terms of the gradient of pressure for the Navier-Stokes equations in R-N
Journal article   Peer reviewed

On a regularity criterion in terms of the gradient of pressure for the Navier-Stokes equations in R-N

Yong Zhou
Zeitschrift für angewandte Mathematik und Physik, Vol.57(3), pp.384-392
01/05/2006
DOI: https://doi.org/10.1007/s00033-005-0021-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we establish a Serrin's type regularity criterion on the gradient of pressure for weak solutions to the Navier-Stokes equations in R-N, N = 3,4. It is proved that if the gradient of pressure belongs to L-alpha,L-gamma with 2/alpha + N/gamma <= 3, N/3 <= gamma <= infinity, then the weak solution actually is regular and unique.

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