Delta shock wave with Dirac delta function in multiple components for the system of generalized Chaplygin gas dynamics

DOI10.1186/s13661-016-0712-6zbMath1353.35208OpenAlexW2551193662WikidataQ59468469 ScholiaQ59468469MaRDI QIDQ343447

Yicheng Pang

Publication date: 28 November 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0712-6

zbMATH Keywords

Riemann problemgeneralized Rankine-Hugoniot relation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Euler equations (35Q31)

Related Items (12)

Riemann problem for a compressible perfect fluid with a constant external force for the Chaplygin gas ⋮ The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation ⋮ Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a 3 × 3 Generalized Chaplygin Gas Equations ⋮ The Riemann solutions to the compressible ideal fluid flow ⋮ Comparison of Riemann solutions for non-isentropic modified and pure Chaplygin gas dynamics ⋮ The Riemann problem for the two-dimensional zero-pressure Euler equations ⋮ General limiting behavior of Riemann solutions to the non-isentropic Euler equations for modified Chaplygin gas ⋮ Behavior of Riemann solutions of extended Chaplygin gas under the limiting condition ⋮ The limiting behavior of the Riemann solutions of non-isentropic modified Chaplygin gas dynamics ⋮ The vanishing pressure limit of Riemann solutions to the non-isentropic Euler equations for generalized Chaplygin gas ⋮ The Riemann problem for the one-dimensional compressible flow of a van der Waals gas ⋮ The Riemann problem with delta initial data for the non-isentropic improved Aw-Rascle-Zhang model

Cites Work

• New developments of delta shock waves and its applications in systems of conservation laws
• Delta shock waves with Dirac delta function in both components for systems of conservation laws
• Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes
• Delta shock waves in chromatography equations
• Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
• Non-oscillatory central differencing for hyperbolic conservation laws
• The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
• On discontinuity surfaces in a medium devoid of proper pressure
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Generalized Chaplygin gas model: dark energy -- dark matter unification and CMBR con\-straints
• Unification of dark matter and dark energy: the inhomogeneous Chaplygin gas
• Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
• The exact Riemann solutions to the generalized Chaplygin gas equations with friction
• The Riemann problem for one-dimensional generalized Chaplygin gas dynamics
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Riemann problem for one-dimensional system of conservation laws of mass, momentum and energy in zero-pressure gas dynamics
• Two-Dimensional Subsonic Flow of Compressible Fluids
• An alternative to quintessence
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