On the Existence of Solutions and the Convergence of Approximations to Scalar Conservation Laws

DOI10.1002/SAPM1995944377zbMATH Open0843.35055OpenAlexW2484537799MaRDI QIDQ4857058

Enrique Fernández-Cara, M. González-Burgos

Publication date: 15 August 1996

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995944377

zbMATH Keywords

viscous term

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• The method of fractional steps for conservation laws
• Hyperbolic systems of conservation laws II
• Monotone Difference Approximations for Scalar Conservation Laws
• Discontinuous solutions of non-linear differential equations
• Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

Related Items (9)

Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux ⋮ Existence of a global solution to a scalar conservation law with a source term for large data ⋮ SCALAR CONSERVATION LAWS ON A HALF-LINE: A PARABOLIC APPROACH ⋮ On the Convergence of Difference Approximations to Scalar Conservation Laws ⋮ On Φ-variation for 1-d scalar conservation laws ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ Estimates of the domain of dependence for scalar conservation laws ⋮ The effect of the consistent mass matrix on the maximum-principle for scalar conservation equations

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