Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum

被引：9
|
作者：
Zhang, Peixin [1 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
基金：
中国国家自然科学基金;
关键词：
compressible magneto-micropolar fluids; blow-up criterion; strong solution; vacuum; WEAK SOLUTIONS; EXISTENCE;
D O I：
10.1186/1687-2770-2013-160
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the author establishes a blow- up criterion of strong solutions to 3D compressible viscous magneto- micropolar fluids. It is shown that if the density and the velocity satisfy parallel to rho parallel to(L infinity(O,T;L infinity)) + parallel to u parallel to(Ls(O, T; Lr)) < infinity, where 2/s + 3/r <= 1 and 3 < r <= infinity, then the strong solutions to the Cauchy problem can exist globally over R-3 x [0,T]. The initial density may vanish on open sets, that is, the initial vacuum is allowed.
引用
收藏
页数：16
相关论文
共 50 条
  • [31] Blowup criterion for the Cauchy problem of 2D compressible viscous micropolar fluids with vacuum
    Huang, Dayong
    Hou, Guoliang
    AIMS MATHEMATICS, 2024, 9 (09): : 25956 - 25965
  • [32] 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
  • [33] Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations
    Shuai Xi
    Shengguo Zhu
    Journal of Dynamics and Differential Equations, 2020, 32 : 769 - 790
  • [34] Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids
    Cui, Xinyu
    Fu, Shengbin
    Sun, Rui
    Tian, Fangfang
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01)
  • [35] A blow-up criterion for compressible viscous heat-conductive flows
    Fan, Jishan
    Jiang, Song
    Ou, Yaobin
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27 (01): : 337 - 350
  • [36] A BLOW-UP CRITERION FOR COMPRESSIBLE VISCOUS HEAT-CONDUCTIVE FLOWS
    Jiang Song
    Ou Yaobin
    ACTA MATHEMATICA SCIENTIA, 2010, 30 (06) : 1851 - 1864
  • [37] A BLOW-UP CRITERION FOR COMPRESSIBLE VISCOUS HEAT-CONDUCTIVE FLOWS
    江松
    欧耀彬
    ActaMathematicaScientia, 2010, 30 (06) : 1851 - 1864
  • [38] 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
  • [39] Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids
    César J. Niche
    Cilon F. Perusato
    Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [40] HOMOGENIZATION OF TRAJECTORY STATISTICAL SOLUTIONS FOR THE 3D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUIDS
    Yang, Hujun
    Han, Xiaoling
    Wang, Xuan
    Zhao, Caidi
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (10): : 2672 - 2685
12345