Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations

Berselli, Luigi; Galdi, Giovanni

doi:10.1090/S0002-9939-02-06697-2

Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
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by Luigi C. Berselli and Giovanni P. Galdi

Proc. Amer. Math. Soc. 130 (2002), 3585-3595

DOI: https://doi.org/10.1090/S0002-9939-02-06697-2

Published electronically: July 2, 2002

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Abstract:

In this paper we consider the Cauchy problem for the $n$-dimensional Navier-Stokes equations and we prove a regularity criterion for weak solutions involving the summability of the pressure. Related results for the initial-boundary value problem are also presented.

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