\(2 \times 2\) systems of conservation laws with \(L^{\infty }\) data

DOI10.1016/j.jde.2010.09.015zbMath1213.35301OpenAlexW2202677032MaRDI QIDQ615986

Francesca Monti, Stefano Bianchini, Rinaldo M. Colombo

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.09.015

zbMATH Keywords

Cauchy problemhyperbolic conservation lawsweak entropy solutionswave front tracking algorithm

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (5)

Conservation laws with coinciding smooth solutions but different conserved variables ⋮ Examples and conjectures on the regularity of solutions to balance laws ⋮ SBV regularity of systems of conservation laws and Hamilton-Jacobi equations ⋮ Long time existence of entropy solutions to the one-dimensional non-isentropic Euler equations with periodic initial data ⋮ Global entropy solutions to weakly nonlinear gas dynamics

Cites Work

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• Stability of $L^\infty$ Solutions for Hyperbolic Systems with Coinciding Shocks and Rarefactions
• Hyperbolic systems of conservation laws II
• Systèmes de lois de conservation et stabilité BV
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Stability of \(L^ \infty\) solutions of Temple class systems.

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