Huihui Kong, Ruxu Lian
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.
DOI: 10.58997/ejde.2020.11
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| Huihui Kong School of Mathematics and Physics University of Science and Technology Beijing email: konghuihuiking@126.com |
|
Ruxu Lian College of Mathematics and Information Science North China University of Water Resources and Electric Power Zhengzhou 450011, China email: lianruxu@mail.iap.ac.cn |
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