Free boundary value problem for compressible magnetohydrodynamic equations
Files
Date
2020-01-23
Authors
Kong, Huihui
Lian, Ruxu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Magnetohydrodynamic equations, Free boundary value problem, Density-dependent viscosity coefficient, Strong solution
Citation
Kong, H., & Lian, R. (2020). Free boundary value problem for compressible magnetohydrodynamic equations. <i>Electronic Journal of Differential Equations, 2020</i>(11), pp. 1-16.
Rights
Attribution 4.0 International