The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains  

作　　者：Min Liang Yaobin Ou 

机构地区：[1]School of Mathematics,Renmin University of China,Beijing 100872,China

出　　处：《Science China Mathematics》2024年第4期787-818,共32页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11971477,12131007 and 11761141008);the Fundamental Research Funds for the Central Universities;the Research Funds of Renmin University of China(Grant No.18XNLG30)。

摘　　要：This paper verifies the low Mach number limit of the non-isentropic compressible magnetohydrodynamic(MHD)equations with or without the magnetic diffusion in a three-dimensional bounded domain when the temperature variation is large but finite.The uniform estimates of strong solutions are established in a short time interval independent of the Mach number,provided that the slip boundary condition for the velocity and the Neumann boundary condition for the temperature are imposed and the initial data is well-prepared.

关 键 词：low Mach number limit non-isentropic compressible magnetohydrodynamic equations large temperature variations bounded domains 

分 类 号：O361.3[理学—流体力学] O175[理学—力学]