Topological tools in the solution of a quadratic system of two conservation laws

DOI10.1007/978-3-031-55260-1_17MaRDI QIDQ6613501

Cesar S. Eschenazi, Wanderson Lambert, Unnamed Author, Carlos Frederico Borges Palmeira, Dan Marchesin, B. Plohr

Publication date: 2 October 2024

zbMATH Keywords

topological approachrarefaction foliationwave manifoldsonic surfaceHugoniot foliation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Cites Work

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• Intersections of Hugoniot curves with the sonic surface in the wave manifold
• Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems
• A global formalism for nonlinear waves in conservation laws
• Topology of elementary waves for mixed-type systems of conservation laws
• The geometry of \(2 \times 2\) systems of conservation laws
• Topological resolution of Riemann problems for pairs of conservation laws
• The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
• The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I

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