期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 202, 期 3, 页码 919-932出版社
SPRINGER
DOI: 10.1007/s00205-011-0439-6
关键词
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资金
- NSF [DMS-0709228, DMS-0708832]
- Alexander von Humboldt Stiftung/Foundation
- Institute for Mathematics and its Applications (IMA), University of Minnesota
In this paper we provide a sufficient condition, in terms of only one of the nine entries of the gradient tensor, that is, the Jacobian matrix of the velocity vector field, for the global regularity of strong solutions to the three-dimensional Navier-Stokes equations in the whole space, as well as for the case of periodic boundary conditions.
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