Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation
From MaRDI portal
Publication:4621238
DOI10.1063/1.5001107zbMath1406.76093OpenAlexW2911178456WikidataQ128535267 ScholiaQ128535267MaRDI QIDQ4621238
Publication date: 11 February 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5001107
Shock waves and blast waves in fluid mechanics (76L05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Riemann-Hilbert problems in context of PDEs (35Q15) Euler equations (35Q31)
Related Items (10)
Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ Delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the isentropic Euler system for Chaplygin gas ⋮ Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ Limits of solutions to the Aw-Rascle traffic flow model with generalized Chaplygin gas by flux approximation ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to a simplified isentropic relativistic Euler equations ⋮ The limits of Riemann solutions to the relativistic van der Waals fluid ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow ⋮ Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation ⋮ Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New developments of delta shock waves and its applications in systems of conservation laws
- Riemann problem for the isentropic relativistic Chaplygin Euler equations
- Delta shock waves with Dirac delta function in both components for systems of conservation laws
- Concentration and cavitation in the Euler equations for nonisentropic fluids with the flux approximation
- Flux-approximation limits of solutions to the relativistic Euler equations for polytropic gas
- Vanishing pressure limits of Riemann solutions to the isentropic relativistic Euler system for Chaplygin gas
- Delta-shocks and vacuums in zero-pressure gas dynamics by the flux approximation
- 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
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. I: Four-\(J\) cases
- Global entropy solutions to the relativistic Euler equations for a class of large initial data
- Stability of Riemann solutions with large oscillation for the relativistic Euler equations
- Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
- Local existence and non-relativistic limits of shock solutions to a multidimensional piston problem for the relativistic Euler equations
- Riemann problems for a class of coupled hyperbolic systems of conservation laws
- Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas
- Flux approximation to the isentropic relativistic Euler equations
- Concentration in vanishing pressure limit of solutions to the modified Chaplygin gas equations
- Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics
- Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids
- The special relativistic shock tube
- The Riemann problem for the transportation equations in gas dynamics
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- The limits of Riemann solutions to the simplified pressureless Euler system with flux approximation
- Relativistic Fluids and Magneto-fluids
- Conservation laws for the relativistic P-system
- Solutions in the large for nonlinear hyperbolic systems of equations
- Solutions in the large for some nonlinear hyperbolic conservation laws
- Note on the compressible Euler equations with zero temperature
- Well posedness for pressureless flow
This page was built for publication: Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation