ASYMPTOTIC BEHAVIOR OF MULTIDIMENSIONAL SCALAR RELAXATION SHOCKS

DOI10.1142/S0219891609001964zbMath1188.35115arXiv0809.4084MaRDI QIDQ5189952

Bongsuk Kwon, Kevin Zumbrun

Publication date: 11 March 2010

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4084

zbMATH Keywords

stabilityhyperbolic conservation lawsshock wavesGreen functionspectral stabilitylinearized stabilityrelaxation systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (6)

Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations ⋮ Stability of planar shock fronts for multidimensional systems of relaxation equations ⋮ Stability of multidimensional viscous shocks for symmetric systems with variable multiplicities ⋮ Stability of radiative shock profiles for hyperbolic-elliptic coupled systems ⋮ Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD ⋮ Long-time stability of multi-dimensional noncharacteristic viscous boundary layers

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