a remark on the regularity for the 3d navier-stokes equations in terms of the two components of the velocity
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ID: 241965
2009
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Abstract
In this note, we study the regularity of Leray-Hopf weak solutions to the Navier-Stokes equation, with the condition $$ abla (u_{1},u_{2},0) in L^{frac{2}{1-r}}(0,T; dot{mathcal{M}}_{2,3/r} (mathbb{R}^3) , $$ where $dot{mathcal{M}}_{2,3/r}(mathbb{R}^3)$ is the Morrey-Campanato space for $0<r<1$. Since $$ L^{1/3}(mathbb{R}^3)subset dot{X}_r(mathbb{R}^3) subset dot{mathcal{M}}_{2,3/r}(mathbb{R}^3), $$ the above regularity condition allows us to improve the results obtained by Fan and Gao [6].
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gala2009electronica
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| Authors | ;Sadek Gala |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2009 |
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