Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure

被引：3

作者：

Tran, Chuong V. ^{[1
]}

Yu, Xinwei ^{[2
]}

机构：

[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 58卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Navier-Stokes; Global regularity; Pressure; Prodi-Serrin; Multiplier spaces; Logarithmic improvement; WEAK SOLUTIONS; LP;

D O I：

10.1016/j.aml.2016.02.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we prove a logarithmic improvement of regularity criteria in the multiplier spaces for the Cauchy problem of the incompressible Navier-Stokes equations in terms of pressure. This improves the main result in Benbernou (2009). (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：62 / 68

页数：7

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