Proceedings of the American Mathematical Society

Regularity criterion via the pressure on weak solutions to the 3D Navier-Stokes equations

Author(s): Chen Qionglei; Zhang Zhifei
Journal: Proc. Amer. Math. Soc. 135 (2007), 1829-1837.
MSC (2000): Primary 35Q30, 35B65, 76D03
Posted: December 29, 2006
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Abstract: We consider the regularity of weak solutions to the Navier-Stokes equations in $\mathbb{R}^3$ . Let

be a Leray-Hopf weak solution. It is proved that

becomes a regular solution if the pressure $p \in L^1(0,T; \dot B^0_{\infty,\infty})$ .

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Chen Qionglei
Affiliation: Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People's Republic of China
Email: chen_qionglei@iapcm.ac.cn

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