Document Zbl 0923.35117

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Regularity of solutions to the Navier-Stokes equation. (English) Zbl 0923.35117

Electron. J. Differ. Equ. 1999, Paper No. 5, 7 p. (1999).

The authors are concerned with obtaining a sufficient condition for the global continuation of strong solutions of the 3D Navier-Stokes equation. They prove that it is sufficient to control only two components of the vorticity vector, or the gradients of the two components of the velocity vector.

Reviewer: V.A.Sava (Iaşi)

Cited in 6 Reviews

Cited in 62 Documents

MSC:

35Q30	Navier-Stokes equations
35B65	Smoothness and regularity of solutions to PDEs
76B99	Incompressible inviscid fluids

Keywords:

Navier-Stokes equation; weak solution; global continuation of strong solutions

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