The convergence of Riemann solutions to the modified Chaplygin gas equations with a Coulomb-like friction term as the pressure vanishes
type: Item
instance of: scholarly article
title: The convergence of Riemann solutions to the modified Chaplygin gas equations with a Coulomb-like friction term as the pressure vanishes
zbMATH Open document ID: 1404.35289
DOI: 10.1155/2018/3174719
author: Yongqiang Fan
author: Gan Yin
author: Lihui Guo
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: This paper studies the convergence of Riemann solutions to the inhomogeneous modified Chaplygin gas equations as the pressure vanishes. The delta shock waves and vacuum states occur as the pressure vanishes. The Riemann solutions of inhomogeneous modified Chaplygin gas equations are no longer self-similar. It is obviously different from the Riemann solutions of homogeneous modified Chaplygin gas equations. When the pressure vanishes, the Riemann solutions of the modified Chaplygin gas equations with a Coulomb-like friction term converge to the Riemann solutions of the pressureless Euler system with a source term.
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35Q31
zbMATH DE Number: 6991946
zbMATH Keywords: delta shock waves
zbMATH Keywords: vacuum states
zbMATH Keywords: Coulomb-like friction term
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3174719
OpenAlex ID: W2887386760
cites work: Modified Chaplygin gas cosmology
cites work: Constraining the parameters of modified Chaplygin gas in Einstein-Aether gravity
cites work: The Chaplygin gas equation of state for the quantized free scalar field on cosmological spacetimes
cites work: Thermodynamics of modified Chaplygin gas and tachyonic field
cites work: Interaction between phantom field and modified Chaplygin gas
cites work: Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas
cites work: Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
cites work: The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
cites work: Formation and propagation of singularities in one-dimensional Chaplygin gas
cites work: Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions
cites work: Two-dimensional Riemann problems for Chaplygin gas
cites work: The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations
cites work: The two-dimensional Riemann problem for Chaplygin gas dynamics with three constant states
cites work: The Riemann problem for the Chaplygin gas equations with a source term
cites work: The exact Riemann solutions to the generalized Chaplygin gas equations with friction
cites work: The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term
cites work: The Riemann problem for the pressureless Euler system with the Coulomb-like friction term
cites work: Shadow waves for pressureless gas balance laws
cites work: Note on the compressible Euler equations with zero temperature
cites work: Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
cites work: The limits of Riemann solutions to the isentropic magnetogasdynamics
cites work: Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
cites work: Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes
cites work: Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases
cites work: The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term
cites work: The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
cites work: Singular solutions to the Riemann problem for a macroscopic production model
Wikidata QID: Q129428744
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description: scientific article; zbMATH DE number 6991946