Small viscosity solution of linear scalar 1-D conservation laws with one discontinuity of the coefficient

DOI10.1016/j.crma.2008.03.029zbMath1153.35051OpenAlexW1978149011MaRDI QIDQ931817

Bruno Fornet

Publication date: 26 June 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.03.029

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak ⋮ An optimal penalty method for a hyperbolic system modeling the edge plasma transport in a tokamak ⋮ Small viscosity solution of linear scalar 1-D conservation laws with one discontinuity of the coefficient

Cites Work

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• Viscous approach for linear hyperbolic systems with discontinuous coefficients
• Viscous approach of discontinuous solutions of semilinear symmetric hyperbolic systems
• Small viscosity solution of linear scalar 1-D conservation laws with one discontinuity of the coefficient
• The Cauchy problem for 1-D linear nonconservative hyperbolic systems with possibly expansive discontinuity of the coefficient: a viscous approach
• Existence and stability of multidimensional shock fronts in the vanishing viscosity limit
• Viscous perturbations of hyperbolic mixed problems and boundary layers
• Definition and weak stability of nonconservative products
• One-dimensional transport equations with discontinuous coefficients
• Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients

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