Refined wave-tracking and nonlinear stability of viscous Lax shocks
From MaRDI portal
Publication:1601161
DOI10.4310/MAA.2000.v7.n4.a8zbMath1007.35048MaRDI QIDQ1601161
Publication date: 19 June 2002
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35)
Related Items
Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability ⋮ A stability index for detonation waves in Majda's model for reacting flow ⋮ Pointwise Green function bounds and stability of combustion waves ⋮ Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations ⋮ Asymptotic \(L^p\) stability for transition fronts in Cahn-Hilliard systems ⋮ Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability ⋮ Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation ⋮ Asymptotic stability analysis for transition front solutions in Cahn-Hilliard systems ⋮ Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves ⋮ Galloping instability of viscous shock waves ⋮ Stability of viscous shocks on finite intervals ⋮ Existence and stability of multidimensional shock fronts in the vanishing viscosity limit ⋮ Stability of isentropic Navier-Stokes shocks in the high-Mach number limit ⋮ Stability of undercompressive shock profiles ⋮ Nonlinear stability of time-periodic viscous shocks ⋮ Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD ⋮ Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations ⋮ Conditional stability of unstable viscous shocks
