The emergence of delta shock in the limit process for two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge

DOI10.1002/zamm.202200300OpenAlexW4361007183MaRDI QIDQ6183630

Fangqi Chen, Zejun Wang, Jie Cheng

Publication date: 4 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202200300

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Cites Work

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• Global existence of the entropy solutions to the isentropic relativistic Euler equations
• Global stability of solutions with discontinuous initial data containing vacuum states for the relativistic Euler equations
• Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
• Vanishing pressure limits of Riemann solutions to the isentropic relativistic Euler system for Chaplygin gas
• Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations
• Global solutions of the relativistic Euler equations
• Conservation laws for relativistic fluid dynamics
• Boundary value problems for the 2D steady relativistic Euler equations with general equation of state
• Two dimensional relativistic Euler equations in a convex duct
• Relativistic Euler equations for isentropic fluids: stability of Riemann solutions with large oscillation
• Global entropy solutions to the relativistic Euler equations for a class of large initial data
• Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation
• Sonic-supersonic solutions for the two dimensional steady relativistic Euler equations
• Existence of periodic solutions to an isothermal relativistic Euler system
• Relativistic Hydrodynamics
• Characteristic decompositions and boundary value problems for two-dimensional steady relativistic Euler equations
• Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics
• Relativistic gasdynamics in two dimensions
• Relativistic gasdynamics
• Relativistic Rankine-Hugoniot Equations

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