Spectral Stability of Weak Relaxation Shock Profiles
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Publication:3628746
DOI10.1080/03605300802553971zbMath1171.35076arXiv0803.0520OpenAlexW2964106154MaRDI QIDQ3628746
Publication date: 20 May 2009
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.0520
energy estimatesasymptotic stabilityhyperbolic systems with relaxationshock profilesspectral proper ties
Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Nonlinear waves in solid mechanics (74J30) Estimates of eigenvalues in context of PDEs (35P15) Hyperbolic conservation laws (35L65)
Related Items (9)
Existence of semilinear relaxation shocks ⋮ Existence of quasilinear relaxation shock profiles in systems with characteristic velocities ⋮ Stability of planar shock fronts for multidimensional systems of relaxation equations ⋮ Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity ⋮ Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks ⋮ Stability of radiative shock profiles for hyperbolic-elliptic coupled systems ⋮ Nash-Moser iteration and singular perturbations ⋮ Stability of hydraulic shock profiles ⋮ Spectral stability of hydraulic shock profiles
Cites Work
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Spectral stability of small-amplitude shock profiles for dissipative symmetric hyperbolic-parabolic systems
- An Evans function approach to spectral stability of small-amplitude shock profiles
- Pointwise Green's function bounds and stability of relaxation shocks
- Existence of Relaxation Shock Profiles for Hyperbolic Conservation Laws
- Stability of Large-Amplitude Shock Profiles of General Relaxation Systems
- Shock Structure in a Simple Discrete Velocity Gas
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