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1997 Concerning the regularity of the solutions to the Navier-Stokes equations via the truncation method. I
H. Beirão da Veiga
Differential Integral Equations 10(6): 1149-1156 (1997).

Abstract

In view of the lack of a global regularity theorem for the solutions $(v,p)$ of the Navier-Stokes equations there has been a great deal of activity in establishing sufficient conditions on the velocity $v$ in order to guarantee the regularity of the solution. However, nontrivial conditions involving the pressure seem not to be available in the literature. In this paper we present a sharp sufficient condition involving a combination of $v$ and $p$. The proof relies on the truncation method, introduced in reference [3] for studying scalar elliptic equations and developed further by many authors (see, in particular [6] and [4]). In the sequel we use some basic results proved in [4].

Citation

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H. Beirão da Veiga. "Concerning the regularity of the solutions to the Navier-Stokes equations via the truncation method. I." Differential Integral Equations 10 (6) 1149 - 1156, 1997.

Information

Published: 1997
First available in Project Euclid: 1 May 2013

zbMATH: 0940.35154
MathSciNet: MR1608053

Subjects:
Primary: 35Q30
Secondary: 35B65, 35J99, 76D05

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.10 • No. 6 • 1997
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