Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws

DOI10.1002/mma.977zbMath1157.35065OpenAlexW2091468051MaRDI QIDQ3515073

Aidi Yao, Wan-cheng Sheng

Publication date: 24 July 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.977

zbMATH Keywords

delta-shock waveentropy boundary conditionentropy-flux pairnonstrictly hyperbolicity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hyperbolic equations on manifolds (58J45)

Related Items (5)

Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial data ⋮ The perturbed Riemann problem with delta shock for a hyperbolic system ⋮ The global solution of the interaction problem for the Aw-Rascle model with phase transitions ⋮ Solutions to a hyperbolic system of conservation laws on two boundaries ⋮ Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws

Cites Work

• Higher order shock waves
• Boundary conditions for nonlinear hyperbolic systems of conservation laws
• Nonlinear superposition and absorption of delta waves in one space dimension
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Spaces of weighted measures for conservation laws with singular shock solutions
• First order quasilinear equations with boundary conditions
• The MmB difference solutions of 2-D Riemann problems for a 2 × 2 hyperbolic system of conservation laws
• Interaction of elementary waves for scalar conservation laws on a bounded domain
• Entropy Boundary Conditions in the Theory of Sedimentation of Ideal Suspensions

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