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math.AP2005
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…
math.AP2005★ 18 cited
Pointwise Asymptotic Behavior of Perturbed Viscous Shock Profiles
Peter Howard, Mohammadreza Raoofi
We consider the asymptotic behavior of perturbations of Lax and overcompressive type viscous shock profiles arising in systems of regularized conservation laws with strictly parabo…
math.AP2004★ 1 cited
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-…