Regularity for the axisymmetric Navier-Stokes equations
In this article, we establish a regularity criterion for the Navier-Stokes system with axisymmetric initial data. It is proved that if the local axisymmetric smooth solution $u$ satisfies ${\|u^\theta\|_{L^{\alpha}(0,T; L^{\beta})}}<\infty$ , where $\frac{2}{\alpha}+\frac{3}{\beta} \leq 1 $,...
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| Format: | Article |
| Language: | English |
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Texas State University
2015-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/250/abstr.html |