We study the viscous and inviscid stability of shock waves in barotropic and full magnetohydrodynamics. We show that there are magnetohydrodynamic shock waves that are one-dimensionally stable as viscous shock profiles while they are multidimensionally strongly unstable as planar shock discontinuities. © 2008 Elsevier B.V. All rights reserved.
Freistühler, H., & Trakhinin, Y. (2008). On the viscous and inviscid stability of magnetohydrodynamic shock waves. Physica D: Nonlinear Phenomena, 237(23), 3030–3037. https://doi.org/10.1016/j.physd.2008.07.003