A note on front tracking for the Keyfitz-Kranzer system

DOI10.1016/j.jmaa.2013.05.026zbMath1316.35192OpenAlexW2020579069MaRDI QIDQ2257653

Nils Henrik Risebro, Franziska Weber

Publication date: 26 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.05.026

zbMATH Keywords

strong generalized entropy solutionsnonstrictly hyperbolic systems

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for <scp>1D</scp> hyperbolic problems, The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states

Cites Work

• Rotational degeneracy of hyperbolic systems of conservation laws
• On a nonstrictly hyperbolic system of conservation laws
• Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• A numerical study of a rotationally degenerate hyperbolic system. I: The Riemann problem
• On the Cauchy problem for a class of hyperbolic systems of conservation laws
• An analysis of front tracking for chromatography
• Wave interactions and stability of the Riemann solutions for the chromatography equations
• Existence and Uniqueness Results for the Continuity Equation and Applications to the Chromatography System
• Hyperbolic systems of conservation laws II
• Existence, Uniqueness, and Continuous Dependence for a System of Hyperbolic Conservation Laws Modeling Polymer Flooding
• Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws
• Nonlinear evolution of parallel-propagating hydromagnetic waves
• On the theory of generalized entropy solutions of the Cauchy problem for a class of non-strictly hyperbolic systems of conservation laws
• A non-local theory of generalized entropy solutions of the Cauchy problem for a class of hyperbolic systems of conservation laws
• A Numerical Study of a Rotationally Degenerate Hyperbolic System. Part II. The Cauchy Problem
• Front tracking for hyperbolic conservation laws