Convergence of the pseudo-viscosity approximation for conservation laws

DOI10.1016/0362-546X(94)90241-0zbMath0815.76040WikidataQ57777116 ScholiaQ57777116MaRDI QIDQ4316986

Roberto Natalini, Pierangelo Marcati

Publication date: 19 December 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

entropy solutiondegenerate parabolic equationapproximating nondegenerate parabolic problemmethods of compensated compactness

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations ⋮ Kinetic decomposition for singularly perturbed higher order partial differential equations ⋮ Singular perturbations of forward-backward \(p\)-parabolic equations ⋮ Smoothing effect of degenerate diffusion ⋮ Revisiting wall heating ⋮ Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.

Cites Work

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• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Approximate solutions to conservation laws via convective parabolic equations
• User’s guide to viscosity solutions of second order partial differential equations
• Discontinuous solutions of non-linear differential equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES