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2002 On a regularity criterion for the solutions to the 3D Navier-Stokes equations
Luigi C. Berselli
Differential Integral Equations 15(9): 1129-1137 (2002).

Abstract

In this paper we give a simple proof of the regularity of a class of solutions to the 3D Navier-Stokes equations for a fluid filling {any} smooth three-dimensional domain. The regularity in the same class was proved by Beir\~ao da Veiga in reference [3], for the Cauchy problem in $\mathbb R^n.$

Citation

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Luigi C. Berselli. "On a regularity criterion for the solutions to the 3D Navier-Stokes equations." Differential Integral Equations 15 (9) 1129 - 1137, 2002.

Information

Published: 2002
First available in Project Euclid: 21 December 2012

zbMATH: 1034.35087
MathSciNet: MR1919765

Subjects:
Primary: 35Q35
Secondary: 35B65, 35D10, 76D03, 76D05

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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Vol.15 • No. 9 • 2002
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