THE SHOCK CURVE APPROACH TO THE RIEMANN PROBLEM FOR 2 × 2 HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

DOI10.1142/S0219891610002128zbMath1201.35133MaRDI QIDQ3585521

Hiroki Ohwa

Publication date: 20 August 2010

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

zbMATH Keywords

conservation lawsRiemann problemgenuinely nonlinearshock curves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Hyperbolic equations on manifolds (58J45)

Related Items (2)

Existence of solutions to the Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy ⋮ Existence of solutions to the Riemann problem for 2 × 2 conservation laws

Cites Work

• Unnamed Item
• A variational approach to the Riemann problem for hyperbolic conservation laws
• Global solutions of systems of conservation laws by wave-front tracking
• The Riemann problem for certain classes of hyperbolic systems of conservation laws
• Existence and uniqueness of entropy solutions to the Riemann problem for hyperbolic systems of two nonlinear conservation laws
• Hyperbolic systems of conservation laws II
• Geometry of Hugoniot curves in 2 × 2 systems of hyperbolic conservation laws with quadratic flux functions
• Solutions in the large for nonlinear hyperbolic systems of equations

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