On a theorem by Sohr for the Navier-Stokes equations

被引：0

作者：

Luigi C. Berselli

Renato Manfrin

机构：

[1] Università degli Studi di Pisa,Dipartimento di Matematica Applicata “U.Dini”

[2] Istituto Universitario di Architettura,Dipartimento di Costruzione dell’Architettura

来源：

Journal of Evolution Equations | 2004年 / 4卷

关键词：

Primary 35B65; Secondary 35K55, 76D05; Navier-Stokes equations; regularity; Marcinkiewicz spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we study some criteria for the full (space-time) regularity of weak solutions to the Navier-Stokes equations. In particular, we generalize some classical and very recent criteria involving the velocity, or its derivatives. More specifically, we show with elementary tools that if a weak solution, or its vorticity, is small in appropriate Marcinkiewicz spaces, then it is regular.

引用

页码：193 / 211

页数：18

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