Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 11, pp. 1-16.

Title: Free boundary value problem for compressible magnetohydrodynamic equations

Authors: Huihui Kong (Univ. of Science and Technology Beijing, Beijing, China)
         Ruxu Lian (North China Univ.of Water Resources and Elect. Power,Zhengzhou, China)

Abstract:
 In this article we consider a free boundary value problem for barotropic
 compressible magnetohydrodynamic equations with density-dependent viscosity
 coefficients. Under certain assumptions imposed on the initial data,
 there exists a unique global strong solution which is strictly positive
 after a finite time. Furthermore, the free boundaries propagate along the
 particle path and the domain expands outwards at an algebraic rate.
 
Submitted September 25, 2019. Published January 23, 2020.
Math Subject Classifications: 35A01, 35R35, 35Q35.
Key Words: Magnetohydrodynamic equations; free boundary value problem;
           density-dependent viscosity coefficient; strong solution.