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

  • Berselli L
  • Galdi G
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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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Berselli, L. C., & Galdi, G. P. (2002). Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Proceedings of the American Mathematical Society, 130(12), 3585–3595. https://doi.org/10.1090/s0002-9939-02-06697-2

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