GLOBAL STRONG SOLUTIONS TO THE PLANAR COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH LARGE INITIAL DATA AND VACUUM

被引：27

作者：

Fan, Jishan ^{[1
]}

Huang, Shuxiang ^{[2
]}

Li, Fucai ^{[3
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

关键词：

Planar compressible magnetohydrodynamic equations; large initial data; vacuum; global well-posedness; NAVIER-STOKES EQUATIONS; ONE-DIMENSIONAL EQUATIONS; BOUNDARY-VALUE-PROBLEMS; HEAT-CONDUCTING FLUIDS; WEAK SOLUTIONS; GENERALIZED SOLUTIONS; CONTINUOUS DEPENDENCE; CLASSICAL-SOLUTIONS; EXISTENCE; GAS;

D O I：

10.3934/krm.2017041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the initial boundary problem to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. The global existence and uniqueness of large strong solutions are established when the heat conductivity coefficient K(theta) satisfies C-1(1 broken vertical bar theta(q)) <= kappa(theta) <= C-2(1 broken vertical bar theta(q)) for some constants q > 0, and C1,C2 >0.

引用

页码：1035 / 1053

页数：19

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