Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state

DOI10.1063/5.0157277zbMath1520.35115OpenAlexW4385415505MaRDI QIDQ6111687

Unnamed Author, Zhi-Qiang Shao

Publication date: 4 August 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0157277

Mathematics Subject Classification ID

Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Cites Work

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• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas
• Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas
• Flux-approximation limits of solutions to the relativistic Euler equations for polytropic gas
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations
• Global solutions of the relativistic Euler equations
• On the relativistic Euler equation
• The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation
• Concentration of mass in the pressureless limit of Euler equations for power law
• Global entropy solutions to the relativistic Euler equations for a class of large initial data
• Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
• The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
• Limits of Riemann solutions to the relativistic Euler systems for Chaplygin gas as pressure vanishes
• Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation
• Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law
• The exact Riemann solutions to the generalized Chaplygin gas equations with friction
• Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
• Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas
• The Riemann problem for one-dimensional generalized Chaplygin gas dynamics
• Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids
• The special relativistic shock tube
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation
• Relativistic Fluids and Magneto-fluids
• Conservation laws for the relativistic P-system
• The vanishing adiabatic exponent limits of Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term
• Note on the compressible Euler equations with zero temperature
• Riemann solutions to the logotropic system with a Coulomb-type friction

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