Riemann problem for the relativistic Chaplygin Euler equations
From MaRDI portal
Publication:541231
DOI10.1016/j.jmaa.2011.04.017zbMath1220.35126OpenAlexW2002884080MaRDI QIDQ541231
Publication date: 6 June 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.017
Chaplygin gasgeneralized Rankine-Hugoniot relationdelta shock waverelativistic Euler equationslinearly degenerate
Related Items
Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ Delta shock wave in the compressible Euler equations for a Chaplygin gas ⋮ The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation ⋮ Self-similar solutions of the radially symmetric relativistic Euler equations ⋮ Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations ⋮ Formation of singularities of solutions to the compressible Euler equations for a Chaplygin gas ⋮ Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas ⋮ Eulerian droplet model: delta-shock waves and solution of the Riemann problem ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ The Riemann solutions comparison for compressible Euler equations in different Chaplygin gas states ⋮ The Riemann problem for the Chaplygin gas equations with a source term ⋮ Flux-approximation limits of solutions to the relativistic Euler equations for polytropic gas ⋮ The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term ⋮ The exact Riemann solutions to the generalized Chaplygin gas equations with friction ⋮ New developments of delta shock waves and its applications in systems of conservation laws ⋮ Riemann problem for the relativistic generalized Chaplygin Euler equations ⋮ RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE RELATIVISTIC CHAPLYGIN EULER EQUATIONS ⋮ Delta shock waves for a linearly degenerate hyperbolic system of conservation laws of Keyfitz-Kranzer type ⋮ The Riemann problem for one-dimensional generalized Chaplygin gas dynamics ⋮ THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE NONSYMMETRIC KEYFITZ-KRANZER SYSTEM WITH CHAPLYGIN PRESSURE ⋮ Wave interactions and stability of Riemann solutions of the Aw-Rascle model for generalized Chaplygin gas ⋮ Riemann problem for the pressureless cargo-leroux model by flux perturbation ⋮ The limits of Riemann solutions to the relativistic van der Waals fluid ⋮ Interactions of delta shock waves for the Chaplygin gas equations with split delta functions ⋮ 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 ⋮ Vanishing magnetic field limits of solutions to the pressureless magnetogasdynamics ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space ⋮ On invariance in \(1+1\)-dimensional isentropic relativistic gasdynamics ⋮ Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state ⋮ Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions ⋮ Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems with BV data ⋮ The regularity of sonic curves for the two-dimensional Riemann problems of the nonlinear wave system of Chaplygin gas
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Holographic Chaplygin gas model
- Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
- The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
- 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
- Existence theory for the isentropic Euler equations
- 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
- Spaces of weighted measures for conservation laws with singular shock solutions
- Riemann problems for a class of coupled hyperbolic systems of conservation laws
- Two-dimensional Riemann problems for zero-pressure gas dynamics with three constant states
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids
- Hyperbolic systems of conservation laws II
- The special relativistic shock tube
- Measure solutions to a strictly hyperbolic system of conservation laws
- The Riemann problem for the transportation equations in gas dynamics
- Conservation laws for the relativistic P-system
- Chaplygin gas cosmology—unification of dark matter and dark energy
- Two-Dimensional Subsonic Flow of Compressible Fluids
- Generalized plane delta-shock waves for \(n\)-dimensional zero-pressure gas dynamics
