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.
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页码：451 / 464
页数：13
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