Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. (English) Zbl 1099.35101

Penel, Patrick; Pokorný, Milan

Appl. Math., Praha 49, No. 5, 483-493 (2004).

Summary: We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.

MSC:

35Q35	PDEs in connection with fluid mechanics
76D05	Navier-Stokes equations for incompressible viscous fluids
35B65	Smoothness and regularity of solutions to PDEs

Keywords:

Navier-Stokes equations; regularity of systems of PDE’s

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