EXACT RIEMANN SOLUTIONS TO COMPRESSIBLE EULER EQUATIONS IN DUCTS WITH DISCONTINUOUS CROSS-SECTION

DOI10.1142/S0219891612500130zbMath1263.35178MaRDI QIDQ4649845

Maren Hantke, Ee Han, Gerald Warnecke

Publication date: 15 November 2012

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

zbMATH Keywords

shock wavesMach numberrarefaction wavesnonuniquenessstationary wavesvelocity functionresonant waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Transonic flows (76H05) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25) Euler equations (35Q31)

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Cites Work

• Unnamed Item
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• Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model
• The Riemann problem for the Baer-Nunziato two-phase flow model
• On numerical treatment of the source terms in the shallow water equations
• The Riemann problem for a class of resonant hyperbolic systems of balance laws
• Two-phase shock-tube problems and numerical methods of solution
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
• The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
• A Riemann problem in gas dynamics with bifurcation
• Nonlinear resonance for quasilinear hyperbolic equation
• Nonlinear Resonance in Systems of Conservation Laws

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