On the result of He concerning the smoothness of solutions to the Navier-Stokes equations
We improve the regularity criterion for the Navier-Stokes equations proved by He [4]. We show that for the Cauchy problem the Leray-Hopf weak solution is smooth provided $ abla u_3 in L^t(0,T;L^s)$, $frac 2t + frac 3s leq frac 32$.
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| Format: | Article |
| Language: | English |
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Texas State University
2003-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/11/abstr.html |