Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas
From MaRDI portal
Publication:829583
DOI10.1007/s10440-020-00345-7zbMath1464.35204OpenAlexW3038736641MaRDI QIDQ829583
Publication date: 6 May 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-020-00345-7
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Special relativity (83A05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)
Related Items (5)
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation ⋮ Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law
Cites Work
- On the uniqueness of solution to generalized Chaplygin gas
- Riemann problem for the relativistic Chaplygin Euler equations
- Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
- The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term
- Vanishing pressure limits of Riemann solutions to the isentropic relativistic Euler system for Chaplygin gas
- Non-sharp travelling waves for a dual porous medium equation
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- 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 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
- Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation
- 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
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Stability of Riemann solutions with large oscillation for the relativistic Euler equations
- Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas
- Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow
- Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
- FRW cosmology with the extended Chaplygin gas
- Higher order shadow waves and delta shock blow up in the Chaplygin gas
- Flux approximation to the isentropic relativistic Euler equations
- Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics
- The analytical solution of the Riemann problem in relativistic hydrodynamics
- 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
- Conservation laws for the relativistic P-system
- The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas
- Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions
- Non-relativistic limits of rarefaction wave to the 1-D piston problem for the isentropic relativistic Euler equations
- Nonsmooth Nonoscillating Exponential-type Asymptotics for Linear Parabolic PDE
- DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
- Note on the compressible Euler equations with zero temperature
- The Riemann problem for the Chaplygin gas equations with a source term
- Singular solutions to the Riemann problem for a macroscopic production model
- The singular limits of Riemann solutions to a chemotaxis model with flux perturbation
This page was built for publication: Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas
