Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions

DOI10.1002/mma.3209zbMath1317.35141OpenAlexW1964733489MaRDI QIDQ5266272

Ying Zhang, Gan Yin, Li-hui Guo

Publication date: 30 July 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3209

zbMATH Keywords

conservation lawsshock wavesChaplygin gasdelta shock waverelativistic Euler equationsfull linear degenerate

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (11)

Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ Riemann problem and wave interactions for a class of strictly hyperbolic systems of conservation laws ⋮ Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮ Riemann problem for a two‐dimensional steady pressureless relativistic Euler equations ⋮ The Riemann problem for the Chaplygin gas equations with a source term ⋮ The exact Riemann solutions to the generalized Chaplygin gas equations with friction ⋮ Riemann problem and wave interactions for a Temple-class hyperbolic system of conservation laws ⋮ The perturbed Riemann problem for a macroscopic production model with Chaplygin gas ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space ⋮ On the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equations ⋮ Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law

Cites Work

• Unnamed Item
• Unnamed Item
• The two-dimensional Riemann problem for Chaplygin gas dynamics with three constant states
• 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
• Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws
• Holographic Chaplygin gas model
• Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions
• Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
• Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
• The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
• Multidimensional shock interaction for a Chaplygin gas
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• On the relativistic Euler equation
• 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
• Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
• Interactions of delta shock waves for the Chaplygin gas equations with split delta functions
• Formation and propagation of singularities in one-dimensional Chaplygin gas
• Interactions of delta shock waves for the transport equations with split delta functions
• Two-Dimensional Riemann Problems for Chaplygin Gas
• Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids
• Singular shock waves in interactions
• $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
• 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 and singular delta locus for one-dimensional systems of conservation laws
• Conservation laws for the relativistic P-system
• Chaplygin gas cosmology—unification of dark matter and dark energy
• Two-Dimensional Subsonic Flow of Compressible Fluids
• Note on the compressible Euler equations with zero temperature

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