二维等温可压缩磁流体方程组的不可压极限  

Incompressible Limit of 2-d Isothermal Magnetohydrodynamic Equations

作　　者：王昕[1] 胡玉玺 Wang Xin;HU Yuxi(College of Science, Beijing Information Science and Technology University, Beijing 100192, China;College of Science, China University of Mining and Technology, Beijing 100083, China)

机构地区：[1]北京信息科技大学理学院,北京100192 [2]中国矿业大学(北京)理学院,北京100083

出　　处：《应用数学学报》2019年第1期85-99,共15页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(71501016;11701556);北京信息科技大学"勤信人才"培育计划(QXTCP B201705)资助项目

摘　　要：我们考虑二维等温可压缩磁流体方程组的不可压极限问题.在好始值以及理想导体边界条件下,我们证明了当马赫数趋于零时,可压缩磁流体方程组的弱解收敛到不可压缩磁流体方程组的强解并且得到了相应的收敛率.We consider the incompressible limit of 2-d isothermal magnetohydrodynamic equations. If the initial data is well-prepared, we show that the weak solutions of the compressible magnetohydrodynamic equations under the perfectly conducted boundary condition converge to the strong solutions of incompressible system as Mach number goes to zero.The convergence rates are also obtained.

关 键 词：等温磁流体 不可压极限 好始值 理想导体边界条件 

分 类 号：O715.2[理学—晶体学]