Serrin-type blow-up criteria for 3D Boussinesq equations

被引：20
|
作者：
Qiu, Hua [1 ,2 ]
Du, Yi [3 ]
Yao, Zheng'an [2 ]
机构：
[1] S China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China
[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
[3] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
APPLICABLE ANALYSIS | 2010年 / 89卷 / 10期
关键词：
Boussinesq equations; regularity criteria; Serrin-type criterion; GLOBAL WELL-POSEDNESS; LOCAL EXISTENCE; REGULARITY; SYSTEM;
D O I：
10.1080/00036811.2010.492505
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider the three-dimensional Boussinesq equations with the incompressibility condition. We obtain some Serrin-type regularity conditions for the three-dimensional Boussinesq equations.
引用
收藏
页码：1603 / 1613
页数：11
相关论文
共 50 条
  • [31] Blow-up criterion for the density dependent inviscid Boussinesq equations
    Li, Li
    Zhou, Yanping
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [32] A Blow-Up Criterion for 3D Nonhomogeneous Incompressible Magnetohydrodynamic Equations with Vacuum
    Wang, Shujuan
    Tian, Miaoqing
    Su, Rijian
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [33] A Blow-Up Criterion for 3D Compressible Isentropic Magnetohydrodynamic Equations with Vacuum
    Wang, Shujuan
    Ren, Jialin
    Su, Rijian
    MATHEMATICS, 2024, 12 (05)
  • [34] A Blowup Criteria of Smooth Solutions to the 3D Boussinesq Equations
    Ben Omrane, Ines
    Gala, Sadek
    Thera, Michel
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2024, 55 (01):
  • [35] Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain
    Fan, Jishan
    Sun, Wenjun
    Yin, Junping
    BOUNDARY VALUE PROBLEMS, 2016,
  • [36] Blow-up criteria for 3D nematic liquid crystal models in a bounded domain
    Fan, Jishan
    Nakamura, Gen
    Zhou, Yong
    BOUNDARY VALUE PROBLEMS, 2013,
  • [37] Blow-up of the maximal slution to 3D Boussinesq system in Lei-Lin-Gevrey spaces
    Selmi, Ridha
    Chaabani, Abdelkerim
    Zaabi, Mounia
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 2945 - 2952
  • [38] A note on the blow-up criterion of smooth solutions to the 3D incompressible MHD equations
    Gala, Sadek
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (04): : 639 - 642
  • [39] Blow-up criterion for 3D viscous-resistive compressible magnetohydrodynamic equations
    Chen, Mingtao
    Liu, Shengquan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (09) : 1145 - 1156
  • [40] Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations
    Xi, Shuai
    Zhu, Shengguo
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (02) : 769 - 790
12345