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5 papers · 1 filter
Sharp pointwise bounds for perturbed viscous shock waves
Peter Howard, Mohammadreza Raoofi, Kevin Zumbrun
Refining previous work in \cite{Z.3, MaZ.3, Ra, HZ, HR}, we derive sharp pointwise bounds on behavior of perturbed viscous shock profiles for large-amplitude Lax or overcompressive…
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems
Olivier Gues, Guy Metivier, Mark Williams +1
Answering a question left open in \cite{MZ2}, we show for general symmetric hyperbolic boundary problems with constant coefficients, including in particular systems with characteri…
asymptotic behavior of perturbed viscous shock profiles
Mohammadreza Raoofi
We investigate the asymptotic behavior of a perturbation of a Lax or overcompressive type shock wave solution to a system of conservation law in one di…
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…