可压缩磁流体方程光滑解的爆破性

Blow-Up of Smooth Solutions to the Compressible MHD Equations

在初始密度和磁通量具有紧支集的条件下,该文证明高维可压缩磁流体方程柯西问题光滑解的爆破现象.其中磁流体方程的黏性系数,热传导系数以及磁扩散系数都是依赖于密度和温度的.

In this paper, we prove the blow-up phenomena of smooth solutions to the Cauchy problem for the full compressible MHD equations in arbitrary dimensions, under the assumption that the initial density and magnetic have compact support. Here the coefficients are generalized to a general case which depend on density and temperature.