Stability of multidimensional viscous and inviscid waves in MHD

Stability of multidimensional viscous and inviscid waves in MHD

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Blake Barker, Brigham Young University

Zoom link:

https://princeton.zoom.us/j/9148065146

We examine the stability of viscous and inviscid multidimensional planar wave solutions of the isentropic and nonisentropic MHD equations.

For corresponding parameters, viscous waves are unstable whenever inviscid waves are unstable. We discuss results regarding the converse. We also consider new techniques for carrying out computer assisted proof of stability of traveling waves.