Pointwise asymptotic behavior of perturbed viscous shock profiles

zbMath1162.35051arXivmath/0503638MaRDI QIDQ930323

Mohammadreza Raoofi, Peter Howard

Publication date: 27 June 2008

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503638

zbMATH Keywords

diffusion wavestability of shock wavesviscous shockLax shockMHD wavesovercompressive shockpointwise Green function boundsreal viscosity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Phase transitions (general) in equilibrium statistical mechanics (82B26) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (9)

Pointwise Green function bounds and stability of combustion waves ⋮ Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form ⋮ Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves ⋮ Galloping instability of viscous shock waves ⋮ One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics ⋮ Stability of isentropic Navier-Stokes shocks in the high-Mach number limit ⋮ Stability of detonation profiles in the ZND limit ⋮ Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems ⋮ Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic-parabolic systems

This page was built for publication: Pointwise asymptotic behavior of perturbed viscous shock profiles