Topological resolution of Riemann problems for pairs of conservation laws

DOI10.1090/S0033-569X-10-01154-7zbMath1197.35161OpenAlexW1970286337MaRDI QIDQ3568336

Cesar S. Eschenazi, Dan Marchesin, Arthur V. Azevedo, Carlos Frederico Borges Palmeira

Publication date: 11 June 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2010-68-02/S0033-569X-10-01154-7/home.html

zbMATH Keywords

shock curveswave curvesintermediate surfacestructural stability propertiestransversality argumentwave manifold

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Differential topology (57R99) Hyperbolic equations on manifolds (58J45)

Related Items (3)

Intersections of Hugoniot curves with the sonic surface in the wave manifold ⋮ Compositional flow in porous media: Riemann problem for three alkanes ⋮ Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems

Cites Work

• Wave curves for the Riemann problem of plane waves in isotropic elastic solids
• Solution of a Riemann problem for elasticity
• A global formalism for nonlinear waves in conservation laws
• Topology of elementary waves for mixed-type systems of conservation laws
• Structurally stable Riemann solutions
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• The geometry of \(2 \times 2\) systems of conservation laws
• The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
• The Riemann Problem for General 2 × 2 Conservation Laws
• The Riemann problem for fluid flow of real materials
• Classification of codimension-one Riemann solutions
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