Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components |
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| Authors: | Bo-Qing Dong Zhi-Min Chen |
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| Affiliation: | a School of Mathematics and Computational Sciences, Anhui University, Hefei, Anhui 230039, People's Republic of China
b School of Engineering Sciences, Ship Science, University of Southampton, Southampton SO17 1BJ, UK |
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| Abstract: | This paper is concerned with the regularity criterion of Leray-Hopf weak solutions to the 3D Navier-Stokes equations with respect to Serrin type condition on two velocity filed components. It is shown that the weak solution u=(u1,u2,u3) is regular on (0,T] if there exist two solution components, for example, u2 and u3, satisfying the condition |
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| Keywords: | Navier-Stokes equations Leray-Hopf weak solutions Regularity criterion |
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