本项目主要研究可压缩磁流体动力学方程组，简称为可压缩MHD模型。该模型是流体力学中具有代表性的数学模型之一，在应用科学和工程上具有广泛的应用。对这类方程的研究不论是在理论探索还是在实际应用中都有着重要的意义。本项目主要围绕三维可压缩MHD方程组光滑解的衰减估计以及一维维可压缩MHD方程组当粘性和磁耗散消失时极限问题开展研究，以期取得一些新的进展。

This project is concerned with a compressible magnetohydrodynamic equations (compressible MHD model for abbreviation). This model is one of the typical mathematical model in the fluid mechanics , which has a wide range of applications in science and engineering. Studying this kind of equation is of great significance both in theory and in practice. In this project we shall consider the decay estimates of the smooth solution to the three-dimensional compressible magnetohydrodynamic equations, as well as the vanishing viscosity and resistivity limits of the one-dimensional compressible magnetohydrodynamic equations. We hope that some interesting results would be obtained.