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.
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页码：193 / 211
页数：18
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