The interactions of elementary waves of nonstrictly hyperbolic system

DOI10.1016/0022-247X(92)90332-8zbMath0781.35038MaRDI QIDQ1191777

Jinghua Wang, Yun-Guang Lu

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

conservation lawsinteraction of shock wavesstrictly hyperbolicquadratic flux functionsstates connected by Hugoniot curves

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

Related Items (3)

Existence of global \(L^\infty\) solutions to a generalized \(n \times n\) hyperbolic system of quadratic type ⋮ Viscous solutions of quadratic conservation laws with umbilic points ⋮ Convergence of the viscosity method for some nonlinear hyperbolic systems

Cites Work

• Solution of the Riemann problem for a prototype 2\(\times 2\) system of non-strictly hyperbolic conservation laws
• Global solutions for an extended class of hyperbolic systems 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
• The Riemann Problem Near a Hyperbolic Singularity II
• The Riemann Problem Near a Hyperbolic Singularity III

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