23 citations · 82 across the 30 of their papers we have counts for
4 papers · 1 filter
Stability of undercompressive shock profiles
Peter Howard, Kevin Zumbrun
Using a simplified pointwise iteration scheme, we establish nonlinear phase-asymptotic orbital stability of large-amplitude Lax, undercompressive, overcompressive, and mixed under-…
Hyperbolic Boundary Value Problems for Symmetric Systems with Variable Multiplicities
Guy Métivier, Kevin Zumbrun
We extend the Kreiss--Majda theory of stability of hyperbolic initial--boundary-value and shock problems to a class of systems, notably including the equations of magnetohydrodynam…
Stability of large-amplitude shock waves of compressible Navier--Stokes equations
Kevin Zumbrun
We summarize recent progress on one- and multi-dimensional stability of viscous shock wave solutions of compressible Navier--Stokes equations and related symmetrizable hyperbolic--…
Planar stability critera for viscous shock waves of systems with real viscosity
Kevin Zumbrun
We present a streamlined account of recent developments in the stability theory for planar viscous shock waves, with an emphasis on applications to physical models with ``real,'' o…