The Evans function and stability criteria for degenerate viscous shock waves
From MaRDI portal
Publication:1884485
DOI10.3934/dcds.2004.10.837zbMath1058.35033OpenAlexW1999091406MaRDI QIDQ1884485
Publication date: 1 November 2004
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2004.10.837
Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Related Items
A stability index for detonation waves in Majda's model for reacting flow ⋮ Pointwise Green's Function Estimates Toward Stability for Degenerate Viscous Shock Waves ⋮ Asymptotic \(L^p\) stability for transition fronts in Cahn-Hilliard systems ⋮ Stability of traveling waves for autocatalytic reaction systems with strong decay ⋮ Eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws via geometric singular perturbation theory ⋮ One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics ⋮ Stability of undercompressive shock profiles ⋮ Existence of Chapman--Jouguet Detonation and Deflagration Waves ⋮ Parameterization Method for Unstable Manifolds of Standing Waves on the Line ⋮ Pointwise Green's function estimates toward stability for multidimensional fourth-order viscous shock fronts