Open AccessSufficient conditions for the regularity to the 3<em>D</em> Navier-Stokes equations
Author(s) -
Chongsheng Cao
Publication year - 2009
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2010.26.1141
Subject(s) - navier–stokes equations , boundary value problem , mathematics , vector field , physics , mathematical analysis , mechanics , compressibility
In this paper we consider the three-dimensional Navier-Stokes equations subject to periodic boundary conditions or in the whole space. We provide sufficient conditions, in terms of one direction derivative of the velocity field, namely, $u_z$, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations.
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