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Transverse bifurcation of viscous slow MHD shocks by Barker, Blake; Monteiro, Rafael; Zumbrun, Kevin is a scholarly article available to read on EtoBox.

What is Transverse bifurcation of viscous slow MHD shocks about?

We study by a combination of analytical and numerical Evans function techniques multi-D viscous and inviscid stability and associated transverse bifurcation of planar slow Lax MHD shocks in a channel with periodic boundary conditions. Notably, this includes the first multi-D numerical Evans function study for viscous MHD. Our results suggest that, rather than a planar shock, a nonplanar traveling wave with the same normal velocity is the typical mode of propagation in the slow Lax mode. Moreover, viscous and inviscid stability transitions appear to agree, answering (for this particular model and setting) an open question of Zumbrun and Serre.

Author

Barker, Blake; Monteiro, Rafael; Zumbrun, Kevin

Published

2019

Language

EN