A LOGARITHMICALLY IMPROVED REGULARITY CRITERION OF SMOOTH SOLUTIONS FOR THE 3D BOUSSINESQ EQUATIONS

被引：0

作者：

Ye, Zhuan ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

OSAKA JOURNAL OF MATHEMATICS | 2016年 / 53卷 / 02期

关键词：

BLOW-UP CRITERION; LOCAL EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we consider the three-dimensional (3D) incompressible Boussinesq equations. We obtain the logarithmically improved regularity criterion of smooth solutions in terms of the velocity field. This result improves some previous works.

引用

页码：417 / 423

页数：7

共 50 条

[31] A note on the regularity criterion of the two-dimensional Newton-Boussinesq equations
Qiu, Hua
Du, Yi
Yao, Zheng'an
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2012 - 2015
[32] A note on the regularity criterion of the Boussinesq equations with zero heat conductivity
Gala, S.
RICERCHE DI MATEMATICA, 2024, 74 (2) : 1149 - 1155
[33] REMARKS ON THE BLOW-UP CRITERION FOR SMOOTH SOLUTIONS OF THE BOUSSINESQ EQUATIONS WITH ZERO DIFFUSION
Jia, Yan
Zhang, Xingwei
Dong, Bo-Qing
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (02) : 923 - 937
[34] The lifespan of solutions to the inviscid 3D Boussinesq system
Xu, Xiaojing
Ye, Zhuan
APPLIED MATHEMATICS LETTERS, 2013, 26 (08) : 854 - 859
[35] GLOBAL SMOOTH SOLUTIONS TO THE 3D NON-RESISTIVE MHD EQUATIONS WITH LOW REGULARITY AXISYMMETRIC DATA
Xiaolian, Ai
Zhouyu, Li
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2022, 20 (07) : 1979 - 1994
[36] A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity
Ye, Zhuan
Zhang, Zujin
APPLIED MATHEMATICS AND COMPUTATION, 2017, 301 : 70 - 77
[37] A REGULARITY CRITERION FOR THE 3D FULL COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH ZERO HEAT CONDUCTIVITY
Fan, Jishan
Li, Fucai
Nakamura, Gen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (04): : 1757 - 1766
[38] The regularity criterion for weak solutions to the n-dimensional Boussinesq system
Cui, Xiaona
BOUNDARY VALUE PROBLEMS, 2017,
[39] A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations
Wang, Teng
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 31 : 100 - 118
[40] Global regularity for a 3D Boussinesq model without thermal diffusion
Ye, Zhuan
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (04):

← 1 2 3 4 5 →