Stability and Dynamics of Viscous Shock Waves

DOI10.1007/978-1-4419-9554-4_5zbMath1258.35028OpenAlexW187760508MaRDI QIDQ2908810

Kevin Zumbrun

Publication date: 29 August 2012

Published in: Nonlinear Conservation Laws and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-9554-4_5

zbMATH Keywords

Burgers equationisentropic gas dynamicsbifurcation of viscous shock wavesEvan function

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Traveling wave solutions (35C07)

Related Items (11)

On the spectral stability of standing waves of the one-dimensional \(M^5\)-model ⋮ Approximations and error bounds for traveling and standing wave solutions of the one-dimensional M\(^5\)-model for mesenchymal motion ⋮ Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations ⋮ Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks ⋮ Spectral stability of shock waves associated with not genuinely nonlinear modes ⋮ Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks ⋮ Metastability of solitary roll wave solutions of the St. Venant equations with viscosity ⋮ A Sturm-Liouville theorem for quadratic operator pencils ⋮ Existence of Chapman--Jouguet Detonation and Deflagration Waves ⋮ Spectral stability of hydraulic shock profiles ⋮ Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability

This page was built for publication: Stability and Dynamics of Viscous Shock Waves