Global Classical Large Solutions with Vacuum to 1D Compressible MHD with Zero Resistivity

被引：0
|
作者：
Haibo Yu
机构：
[1] Xiamen University,School of Mathematical Sciences
来源：
Acta Applicandae Mathematicae | 2013年 / 128卷
关键词：
Magnetohydrodynamics; Zero resistivity; Global classical solution; Vacuum; 76W05; 35B45; 76N10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish the global-in-time existence and uniqueness of classical solutions of the initial boundary value problem for 1D compressible magnetohydrodynamics with zero magnetic resistivity, where the initial vacuum is allowed. In present paper, we do not require initial value to be small.
引用
收藏
页码：193 / 209
页数：16
相关论文
共 50 条
  • [21] Global existence and exponential stability for a 1D compressible and radiative MHD flow
    Qin, Yuming
    Liu, Xin
    Yang, Xinguang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (05) : 1439 - 1488
  • [22] Classical Solutions for 1D Compressible Euler Equations with Over Damping
    Liu, Jianli
    Wang, Jingwei
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 24 (03)
  • [23] Global weak solutions of 3D compressible MHD with discontinuous initial data and vacuum
    Liu, Shengquan
    Yu, Haibo
    Zhang, Jianwen
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (01) : 229 - 255
  • [24] Global classical solutions of 3D isentropic compressible MHD with general initial data
    Liu, Yang
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (04): : 1777 - 1797
  • [25] Global classical solutions of 3D isentropic compressible MHD with general initial data
    Yang Liu
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 1777 - 1797
  • [26] GLOBAL WEAK SOLUTIONS TO 1D COMPRESSIBLE EULER EQUATIONS WITH RADIATION
    Blanc, Xavier
    Ducomet, Bernard
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (07) : 1905 - 1936
  • [27] Global Weak Solutions for 1D Compressible Navier-Stokes/Allen-Cahn System with Vacuum
    Li, Yinghua
    Yan, Yuanxiang
    Ding, Shijin
    Chen, Gaoyang
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (01):
  • [28] Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid
    Jianwei Dong
    Junhui Zhu
    Litao Zhang
    Czechoslovak Mathematical Journal, 2024, 74 : 29 - 43
  • [29] Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD Equations with No Vacuum at Infinity
    Ai, Xiaolian
    Li, Zilai
    Ye, Yulin
    ACTA APPLICANDAE MATHEMATICAE, 2021, 175 (01)
  • [30] Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid
    Dong, Jianwei
    Zhu, Junhui
    Zhang, Litao
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2024, 74 (01) : 29 - 43
12345