On regularity criteria in terms of pressure for the Navier-Stokes equations in  |
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| Authors: | Yong Zhou |
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| Affiliation: | Department of Mathematics, East China Normal University, Shanghai, 200062, People's Republic of China |
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| Abstract: | In this paper we establish a Serrin-type regularity criterion on the gradient of pressure for the weak solutions to the Navier-Stokes equations in  . It is proved that if the gradient of pressure belongs to  with  ,  , then the weak solution is actually regular. Moreover, we give a much simpler proof of the regularity criterion on the pressure, which was showed recently by Berselli and Galdi (Proc. Amer. Math. Soc. 130 (2002), no. 12, 3585-3595). |
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| Keywords: | Navier-Stokes equations regularity criterion integrability of pressure a priori estimates |
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