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
收藏
页码：417 / 423
页数：7
相关论文
共 50 条
  • [1] A Regularity Criterion of Weak Solutions to the 3D Boussinesq Equations
    Gala, Sadek
    Ragusa, Maria Alessandra
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (02): : 513 - 525
  • [2] A REGULARITY CRITERION TO THE 3D BOUSSINESQ EQUATIONS
    Alghamdi, A. M.
    Ben Omrane, I
    Gala, S.
    Ragusa, M. A.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1795 - 1804
  • [3] A regularity criterion of weak solutions to the 3D Boussinesq equations
    Alghamdi, Ahmad Mohammed
    Gala, Sadek
    Ragusa, Maria Alessandra
    AIMS MATHEMATICS, 2017, 2 (03): : 451 - U208
  • [4] A regularity criterion for the 3D Boussinesq equations
    Wu, Fan
    APPLICABLE ANALYSIS, 2022, 101 (08) : 3039 - 3047
  • [5] Logarithmically improved regularity criterion for the 3D Hall-MHD equations
    Sadek Gala
    Michel Théra
    Computational and Applied Mathematics, 2021, 40
  • [6] Logarithmically improved regularity criterion for the 3D Hall-MHD equations
    Gala, Sadek
    Thera, Michel
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (07)
  • [7] A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations
    Wang, Yu-Zhu
    Yuan, Hecai
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (04) : 1904 - 1912
  • [8] Logarithmically improved regularity criteria for the Boussinesq equations
    Gala, Sadek
    Mechdene, Mohamed
    Ragusa, Maria Alessandra
    AIMS MATHEMATICS, 2017, 2 (02): : 336 - 347
  • [9] Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
    Gala, Sadek
    Ragusa, Maria Alessandra
    APPLICABLE ANALYSIS, 2016, 95 (06) : 1271 - 1279
  • [10] An improved regularity criterion for the 2D inviscid Boussinesq equations
    Ye, Zhuan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (12) : 3095 - 3098
12345