Conditions implying regularity of the three dimensional navier-stokes equation

被引：3

作者：

Montgomery-Smith S. ^{[1
]}

机构：

[1] Department of Mathematics, University of Missouri, Columbia

来源：

Applications of Mathematics | 2005年 / 50卷 / 05期

基金：

美国国家科学基金会;

关键词：

Beale-Kato-Majda condition; Navier-Stokes equation; Orlicz norm; Prodi-Serrin condition; stochastic method; vorticity;

D O I：

10.1007/s10492-005-0032-0

中图分类号：

学科分类号：

摘要：

We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foias, Guillope and Temam. © 2005 Mathematical Institute, Academy of Sciences of Czech Republic.

引用

页码：451 / 464

页数：13

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