Loss of hyperbolicity changes the number of wave groups in Riemann problems

DOI10.1007/s00574-016-0168-4zbMath1356.35140OpenAlexW2474260376MaRDI QIDQ504600

V. Matos, Dan Marchesin, Julio Daniel Machado Silva

Publication date: 17 January 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://repositorio-aberto.up.pt/handle/10216/83837

zbMATH Keywords

structural stabilitytransversalityadsorption systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) PDEs in connection with geophysics (35Q86)

Related Items (2)

Compositional flow in porous media: Riemann problem for three alkanes ⋮ Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method

Uses Software

• Maple

Cites Work

• On a nonstrictly hyperbolic system of conservation laws
• Analysis of a singular hyperbolic system of conservation laws
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Structurally stable Riemann solutions
• Riemann solutions without an intermediate constant state for a system of two conservation laws
• Hyperbolic systems of conservation laws II
• Transitional Waves for Conservation Laws
• LARGE VISCOUS SOLUTIONS FOR SMALL DATA IN SYSTEMS OF CONSERVATION LAWS THAT CHANGE TYPE
• The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer Flooding
• The Riemann Problem for General 2 × 2 Conservation Laws

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