Shock waves with irrotational Rankine-Hugoniot conditions

DOI10.1090/QAM/1682MaRDI QIDQ6602246

Dening Li, Qingtian Zhang

Publication date: 11 September 2024

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

shock wavesEuler systemisentropic and irrotational flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Initial value problems for second-order hyperbolic equations (35L15) Euler equations (35Q31) Waves in compressible fluids (76N30)

Cites Work

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• Generalised Riemann problem for Euler system
• Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system
• Rarefaction and Shorck Waves for Multi-Dimensional Hyperbolic Conservation Laws
• Double Shock Fronts for Hyperbolic Systems of Conservation Laws in Multidimensional Space
• The existence of multidimensional shock fronts
• Multi‐dimensional shock fronts for second order wave equations
• Probléme de riemann pour une loi de conservation scalaire hyprbolique d'ordre deux
• Initial boundary value problems for hyperbolic systems

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