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math.AP2019
Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier-Stokes equations
Blake Barker, Benjamin Melinand, Kevin Zumbrun
We treat the 1D shock tube problem, establishing existence of steady solutions of full (nonisentropic) polytropic gas dynamics with arbitrary noncharacteristic data. We present als…
math.AP2019
Transverse bifurcation of viscous slow MHD shocks
Blake Barker, Rafael Monteiro, Kevin Zumbrun
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…