粘度和电阻率系数依赖于密度的三维不可压缩磁流体力学方程组局部强解的适定性  

On Well-posedness of Local Strong Solutions to the Three Dimensional Incompressible Magnetohydrodynamic Equations with Density-dependent Viscosity and Resistivity

作　　者：李亚楠 元荣 LI Ya-nan;YUAN Rong(School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学数学与统计学院,山东青岛266071

出　　处：《数学的实践与认识》2021年第10期211-223,共13页Mathematics in Practice and Theory

摘　　要：研究粘性和电阻率系数依赖于密度的三维不可压缩磁流体力学方程组,证明该方程组的初边值问题的局部强解存在唯一,并且在一定的相容性条件下,该局部强解连续依赖于初始数据.In this paper,we study the system of the three-dimensional incompressible magnetohydrodynamics equations with viscosity and resistivity coefficients dependent on density.The existence and uniqueness of the local strong solutions to the initial boundary value problem of the system are proved,under certain compatibility conditions,the local strong solution depends on the initial data continuously.

关 键 词：磁流体力学方程组 粘度 电阻率 局部强解 

分 类 号：O175.8[理学—数学] O361.3[理学—基础数学]