Instability of vanishing viscosity approximation to hyperbolic systems of conservation laws with rotational invariance

DOI10.1016/0022-0396(90)90001-6zbMath0715.35048OpenAlexW2089198569MaRDI QIDQ752317

Heinrich Freistühler

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90001-6

zbMATH Keywords

linear stabilityRiemann problemviscous profilenonuniquenessassociated family of parabolic systemsviscosity limits

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Nonuniqueness for the vanishing viscosity solution with fixed initial condition in a nonstrictly hyperbolic system of conservation laws, Nonuniqueness of solutions of Riemann problems, Exact solutions to a class of quasilinear hyperbolic systems, Linear degeneracy and shock waves, A numerical study of a rotationally degenerate hyperbolic system. I: The Riemann problem, A global formalism for nonlinear waves in conservation laws, ASYMPTOTIC STABILITY OF NON-PLANAR RIEMANN SOLUTIONS FOR MULTI-D SYSTEMS OF CONSERVATION LAWS WITH SYMMETRIC NONLINEARITIES, The quasilinear wave equation for antiplane shearing of nonlinearly elastic bodies, Non-uniformity of vanishing viscosity approximation, Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws

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