期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 42, 期 18, 页码 7126-7134出版社
WILEY
DOI: 10.1002/mma.5818
关键词
direction of vorticity; Navier-Stokes equations; regularity criteria
We study the regularity criterion for the Navier-Stokes equations and show that the (beta (1),beta (2),beta (3))-Holder continuity assumption in (x(1),x(2),x(3)) on the direction of the vorticity ensures the regularity of the solution. This may be viewed as an extension of many previous results, since some of the beta (i) can be arbitrarily small.
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