23 citations · 99 across the 35 of their papers we have counts for
3 papers · 2 filters
Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability
Blake Barker, Heinrich Freistühler, Kevin Zumbrun
We consider by a combination of analytical and numerical techniques some basic questions regarding the relations between inviscid and viscous stability and existence of a convex en…
Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations
Mathew A. Johnson, Pascal Noble, L. Miguel Rodrigues +1
We establish nonlinear stability and asymptotic behavior of traveling periodic waves of viscous conservation laws under localized perturbations or nonlocalized perturbations asympt…
Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions
Olivier Gues, Guy Metivier, Mark Williams +1
We initiate the study of noncharacteristic boundary layers in hyperbolic-parabolic problems with Neumann boundary conditions. More generally, we study boundary layers with mixed Di…