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Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations. (English) Zbl 1060.35105
This paper deals with the critical case of extension criterias for strong solutions of the 3D Navier-Stokes equations which was excluded in [D. Chae and 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.

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