Regularity for 3D Navier-Stokes equations in terms of two components of the vorticity

We establish regularity conditions for the 3D Navier-Stokes equation via two components of the vorticity vector. It is known that if a Leray-Hopf weak solution $u$ satisfies $$ ilde{omega}in L^{2/(2-r)}(0,T;L^{3/r}(mathbb{R}^3))quad hbox{with }0<r<1, $$ where $ilde{omega}$ form...

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Bibliographic Details
Main Author: Sadek Gala
Format: Article
Language:English
Published: Texas State University 2010-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/153/abstr.html