Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2020; 35(1): 339-345

Online first article August 27, 2019      Printed January 31, 2020

https://doi.org/10.4134/CKMS.c190019

Copyright © The Korean Mathematical Society.

On the improved regularity criterion of the solutions to the Navier-Stokes equations

Sadek Gala

Ecole Normale Superieure of Mostaganem

Abstract

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This note deals with the question of the regularity of (Leray) weak solutions of the Navier-Stokes equations in terms of the pressure. This criterion improves on the existing results.

Keywords: Navier-Stokes equations, regularity criterion, weak solutions, Besov spaces

MSC numbers: 35B45, 35B65, 76D05

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