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

共 50 条

[1] REMARK ON A REGULARITY CRITERION IN TERMS OF PRESSURE FOR THE NAVIER-STOKES EQUATIONS
Gala, Sadek
QUARTERLY OF APPLIED MATHEMATICS, 2011, 69 (01) : 147 - 155
[2] A note on the regularity criterion in terms of pressure for the Navier-Stokes equations
Benbernou, Samia
APPLIED MATHEMATICS LETTERS, 2009, 22 (09) : 1438 - 1443
[3] Improvement of several regularity criteria for the Navier-Stokes equations
Wu, Fan
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 65
[4] On regularity criteria for the n-dimensional Navier-Stokes equations in terms of the pressure
Fan, Jishan
Jiang, Song
Ni, Guoxi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (11) : 2963 - 2979
[5] Regularity Criteria in Terms of the Pressure for the Navier-Stokes Equations in the Critical Morrey-Campanato Space
Zhou, Yong
Gala, Sadek
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2011, 30 (01): : 83 - 93
[6] A note on the regularity criteria for the Navier-Stokes equations
Guo, Zhengguang
Gala, Sadek
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 305 - 309
[7] A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
Bosia, Stefano
Conti, Monica
Pata, Vittorino
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (07): : 1015 - 1025
[8] On logarithmically improved regularity criteria for the Navier-Stokes equations in Rn
Fan, Jishan
Jiang, Song
Nakamura, Gen
IMA JOURNAL OF APPLIED MATHEMATICS, 2011, 76 (02) : 298 - 311
[9] Geometric regularity criteria for the Navier-Stokes equations in terms of velocity direction
Skalak, Zdenek
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (07) : 5414 - 5426
[10] Remarks on logarithmical regularity criteria for the Navier-Stokes equations
Guo, Zhengguang
Gala, Sadek
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (06)

← 1 2 3 4 5 →