Regularity of generalized Naveir-Stokes equations in terms of direction of the velocity
In this article, the author studies the regularity of 3D generalized Navier-Stokes (GNS) equations with fractional dissipative terms $(-Delta)^{alpha} u$. It is proved that if $hbox{div} (u / |u|) in L^p (0, T ; L^q (mathbb{R}^3))$ with $$ frac{2 alpha}{p} + frac{3}{q} leq 2 alpha - frac{3}{2},...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/105/abstr.html |