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中文摘要：
主要介绍近年来关于可压缩磁流体力学（MHD）方程组的若干研究进展,主要包括：一维可压缩MHD方程组古典解的存在唯一性和剪切粘性极限,三维可压缩MHD方程组的整体解存在性和不可压极限,以及三维可压缩MHD方程组整体强解的爆破准则.
英文摘要：
In this paper,we recall some recent mathematical results on the compressible magnehydrodynamics（MHD）,including the global exisntece and uniqeness of classical solution and the vanishing shear viscosity limit to the 1-D MHD equations,the global existence of solution and the incomressible limit to the 3-D MHD equations,and the blow-up criteria of strong solution for the 3-D MHD equations with vacuum states.
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On the stability of contact discontinuity for Cauchy problem of compress Navier-Stokes equations wit
Global classical solutions to 3-D isentropic compressible Navier-Stokes equations with general initi
Global classical solution to the three-dimensional isentropic compressible N-S equations with genera
GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF S
The inviscid and non-resistive limit int the Cauchy problem for 3-D nonhomogeneous incompressible ma
A BLOW-UP CRITERION FOR 3D NON-RESISTIVE COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH INITIAL VAC
THE INVISCID AND NON-RESISTIVE LIMIT IN THE CAUCHY PROBLEM FOR 3-D NONHOMOGENEOUS INCOMPRESSIBLE MAG
ASYMPTOTIC STABILITY OF VISCOUS CONTACT DISCONTINUITY TO AN INFLOW PROBLEM FOR COMPRESSIBLE NAVIER-S
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