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Zbl 1060.35105
Kozono, Hideo; Yatsu, Naoki
Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations. (English)
[J] Math. Z. 246, No. 1-2, 55-68 (2004). ISSN 0025-5874; ISSN 1432-1823/e

This paper deals with the critical case of extension criterias for strong solutions of the 3D Navier-Stokes equations which was excluded in [{\it D. Chae} and {\it H.-J. Choe}, Electron. J. Differ. Equ. 1999, Paper No. 5, 7 p. (1999; Zbl 0923.35117)]. To this end the components of the vorticity vector are investigated in BMO.
[Uwe Kähler (Aveiro)]

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
35B65 Smoothness of solutions of PDE
76B99 Incompressible inviscid fluids, potential theory

Keywords: Navier-Stokes equations; extension theorem; vorticity

Citations: Zbl 0923.35117

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