Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems
From MaRDI portal
Publication:4736739
DOI10.1002/cpa.20023zbMath1060.35111OpenAlexW2091569215MaRDI QIDQ4736739
Publication date: 6 August 2004
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.20023
shock profilenonlinear orbital stabilitydegenerate parabolic conservation lawssymmetric hyperbolic-parabolic systems
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) PDEs of mixed type (35M10)
Related Items
Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability, Stability of transition front solutions in multidimensional Cahn-Hilliard systems, Asymptotic behavior of solutions to a system of viscous conservation laws related to a phase transition problem, Existence of semilinear relaxation shocks, Pointwise Green function bounds and stability of combustion waves, Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system, Asymptotic stability of planar rarefaction waves under periodic perturbations for 3-d Navier-Stokes equations, Multidimensional stability of large-amplitude Navier-Stokes shocks, Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits, Nonlinear modulational dynamics of spectrally stable Lugiato-Lefever periodic waves, Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma, Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions, Existence of quasilinear relaxation shock profiles in systems with characteristic velocities, Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations, Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity, Existence and uniqueness of a positive connection for the scalar viscous shallow water system in a bounded interval, Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves, Galloping instability of viscous shock waves, Long time dynamics of layered solutions to the shallow water equations, Scalar Green function bounds for instantaneous shock location and one-dimensional stability of viscous shock waves, The refined inviscid stability condition and cellular instability of viscous shock waves, Stability of isentropic Navier-Stokes shocks in the high-Mach number limit, Stability of undercompressive shock profiles, Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case, Asymptotic stability of the viscous shock wave for the one-dimensional compressible Navier-Stokes equations with density dependent viscous coefficient on the half space, Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD, Existence and stability of viscoelastic shock profiles, Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations, Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD, Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems, ADMISSIBILITY OF VISCOUS-DISPERSIVE SYSTEMS, Stability of viscous shocks in isentropic gas dynamics, On the shock wave spectrum for isentropic gas dynamics with capillarity, Conditional stability of unstable viscous shocks, Stability Analysis of Unsteady, Nonuniform Base States in Thin Film Equations, Nonlinear Stability of Large Amplitude Viscous Shock Waves to the One-dimensional System of Viscoelasticity
Cites Work
