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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Format: | Article |
Language: | English |
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Texas State University
2010-10-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2010/153/abstr.html |