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Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
Regularity criteria for the three-dimensional Navier-Stokes equations. (English)
[J] Indiana Univ. Math. J. 57, No. 6, 2643-2661 (2008). ISSN 0022-2518

Summary: 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 component of the velocity field, or alternatively in terms of one component of the pressure gradient, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations.

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
76D05 Navier-Stokes equations (fluid dynamics)
76D03 Existence, uniqueness, and regularity theory

Keywords: Navier-Stokes equations; periodic boundary conditions; regularity

Cited in: Zbl pre06163469

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