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- W1971104422 abstract "Several regularity criterions of Leray-Hopf weak solutions $u$ to the 3D Navier-Stokes equations are obtained. The results show that a weak solution $u$ becomes regular if the gradient of velocity component $nabla_{h}{u}$ (or $ nabla{u_3}$) satisfies the additional conditions in the class of $L^{q}(0,T; dot{B}_{p,r}^{s}(mathbb{R}^{3}))$, where $nabla_{h}=(partial_{x_{1}},partial_{x_{2}})$ is the horizontal gradient operator. Besides, we also consider the anisotropic regularity criterion for the weak solution of Navier-Stokes equations in $mathbb{R}^3$. Finally, we also get a further regularity criterion, when give the sufficient condition on $partial_3u_3$." @default.
- W1971104422 created "2016-06-24" @default.
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- W1971104422 creator A5027944894 @default.
- W1971104422 date "2012-10-14" @default.
- W1971104422 modified "2023-10-16" @default.
- W1971104422 title "Regularity criterion for 3D Navier-Stokes Equations in Besov spaces" @default.
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- W1971104422 doi "https://doi.org/10.48550/arxiv.1210.3857" @default.
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