GLOBAL WELLPOSEDNESS OF MAGNETOHYDRODYNAMICS SYSTEM WITH TEMPERATURE-DEPENDENT VISCOSITY  

作　　者：Shibin SU Xiaokui ZHAO School of Mathematical Sciences Xiamen University  苏仕斌;赵小奎

机构地区：[1]School of Mathematical Sciences, Xiamen University

出　　处：《Acta Mathematica Scientia》2018年第3期898-914,共17页数学物理学报（B辑英文版）

基　　金：Supported by NNSFC(11271306);the Natural Science Foundation of Fujian Province of China(2015J01023);the Fundamental Research Funds for the Central Universities of Xiamen University(20720160012)

摘　　要：The initial boundary value problem of the one-dimensional magneto-hydrodynamics system, when the viscosity, thermal conductivity, and magnetic diffusion coefficients are general smooth functions of temperature, is considered in this article. A unique global classical solution is shown to exist uniquely and converge to the constant state as the time tends to infinity under certain assumptions on the initial data and the adiabatic exponent γ. The initial data can be large if γ is sufficiently close to 1.The initial boundary value problem of the one-dimensional magneto-hydrodynamics system, when the viscosity, thermal conductivity, and magnetic diffusion coefficients are general smooth functions of temperature, is considered in this article. A unique global classical solution is shown to exist uniquely and converge to the constant state as the time tends to infinity under certain assumptions on the initial data and the adiabatic exponent γ. The initial data can be large if γ is sufficiently close to 1.

关 键 词：MHD system global well-posedness temperature-dependent viscosity 

分 类 号：O361.3[理学—流体力学]