Blow-up criterion for 3D viscous-resistive compressible magnetohydrodynamic equations

被引：15
|
作者：
Chen, Mingtao [1 ]
Liu, Shengquan [2 ,3 ]
机构：
[1] Shandong Univ Weihai, Sch Math & Stat, Weihai 264209, Peoples R China
[2] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China
[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 09期
关键词：
blow-up criterion; strong solution; compressible magnetohydrodynamics; vacuum; NAVIER-STOKES EQUATIONS; HEAT-CONDUCTIVE GASES/; MHD EQUATIONS; CONTINUOUS DEPENDENCE; CRITICAL SPACES; WEAK SOLUTIONS; EXISTENCE; FLOWS; HYDRODYNAMICS; REGULARITY;
D O I：
10.1002/mma.2674
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a blow-up criterion of strong solutions for 3D viscous-resistive compressible magnetohydrodynamic equations, which depends only on vertical bar delta u vertical bar L1(0,T;L) and vertical bar vertical bar L(0,T;L). Our result improves the previous criterion in Lu's paper (Journal of Mathematical Analysis and Applications 2011; 379: 425438.) for compressible magnetohydrodynamic equations by removing a stringent condition on the viscous coefficients >4. In addition, initial vacuum states are also allowed in our cases. Copyright (c) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码：1145 / 1156
页数：12
相关论文
共 50 条
  • [1] Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations
    Xi, Shuai
    Zhu, Shengguo
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (02) : 769 - 790
  • [2] Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations
    Shuai Xi
    Shengguo Zhu
    [J]. Journal of Dynamics and Differential Equations, 2020, 32 : 769 - 790
  • [3] A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
    Xu, Xinying
    Zhang, Jianwen
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2012, 22 (02):
  • [4] A blow-up criterion for 3D non-resistive compressible magnetohydrodynamic equations with initial vacuum
    Xu, Xinying
    Zhang, Jianwen
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 3442 - 3451
  • [5] A Blow-Up Criterion for 3D Compressible Isentropic Magnetohydrodynamic Equations with Vacuum
    Wang, Shujuan
    Ren, Jialin
    Su, Rijian
    [J]. MATHEMATICS, 2024, 12 (05)
  • [6] A BLOW-UP CRITERION FOR THE 3D COMPRESSIBLE MHD EQUATIONS
    Lu, Ming
    Du, Yi
    Yao, Zheng-An
    Zhang, Zujin
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (03) : 1167 - 1183
  • [7] Blow-up criterion for the compressible magnetohydrodynamic equations with vacuum
    Zhu, Shengguo
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (02) : 928 - 953
  • [8] A remark on blow-up criterion for 3D compressible magnetohydrodynamic flows with vacuum
    Liu, Yujun
    Tang, Tong
    Li, Shan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 189 - 200
  • [9] A blow-up criterion to the 2D full compressible magnetohydrodynamic equations
    Fan, Jishan
    Li, Fucai
    Nakamura, Gen
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (11) : 2073 - 2080
  • [10] A Blow-Up Criterion for 3D Nonhomogeneous Incompressible Magnetohydrodynamic Equations with Vacuum
    Wang, Shujuan
    Tian, Miaoqing
    Su, Rijian
    [J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
12345