Stability of systems of viscous conservation laws

DOI<1397::AID-CPA7>3.0.CO;2-X 10.1002/(SICI)1097-0312(199811/12)51:11/12<1397::AID-CPA7>3.0.CO;2-XzbMath0935.35013OpenAlexW2000248115MaRDI QIDQ4266423

Gunilla Kreiss, Heinz-Otto Kreiss

Publication date: 4 May 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199811/12)51:11/12<1397::aid-cpa7>3.0.co;2-x

zbMATH Keywords

stability of viscous shock profileszero mass perturbation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15)

Related Items (14)

Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability ⋮ Parabolic problems which are ill-posed in the zero dissipation limit ⋮ Splitting scheme for the stability of strong shock profile ⋮ Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems ⋮ A note on viscous conservation laws with complex characteristics ⋮ Asymptotic stability of relaxation shock profiles for hyperbolic conservation laws. ⋮ Galloping instability of viscous shock waves ⋮ Stability of viscous shocks on finite intervals ⋮ Stability of multidimensional viscous shocks for symmetric systems with variable multiplicities ⋮ Eigenvalues of self-similar solutions of the Dafermos regularization of a system of conservation laws via geometric singular perturbation theory ⋮ Stability of viscous profiles: Proofs via dichotomies ⋮ Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's ⋮ Multidimensional viscous shocks II: The small viscosity limit ⋮ Dynamics of Patterns in Nonlinear Equivariant PDEs

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