Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas

DOI10.3233/ASY-201609MaRDI QIDQ4999990

Yanyan Zhang, Jinhuan Wang, Yu Zhang

Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemann problemdelta shock wavegeneralized Chaplygin gasisentropic Euler equationsextended Chaplygin gaszero-exponent limit

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Shock waves and blast waves in fluid mechanics (76L05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (4)

Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure ⋮ The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model ⋮ Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ Zero-exponent limit to the extended Chaplygin gas equations with friction

Cites Work

• Unnamed Item
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas
• Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes
• Approaching Chaplygin pressure limit of solutions to the Aw-Rascle model
• Einstein static universe in braneworld scenario
• Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
• Vanishing pressure limits of Riemann solutions to the isentropic relativistic Euler system for Chaplygin gas
• The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
• Concentration of mass in the pressureless limit of Euler equations for power law
• Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• The Aw-Rascle traffic model with Chaplygin pressure
• Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation
• Delta shock waves as flux-approximation limit of solutions to the modified Chaplygin gas equations
• Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow
• 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
• FRW cosmology with the extended Chaplygin gas
• Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas
• The Riemann problem for one-dimensional generalized Chaplygin gas dynamics
• The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases
• Concentration in vanishing pressure limit of solutions to the modified Chaplygin gas equations
• The Riemann problem for the transportation equations in gas dynamics
• Sticky Particles and Scalar Conservation Laws
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• The limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gas
• The vanishing adiabatic exponent limits of Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term
• Concentration in the flux approximation limit of Riemann solutions to the extended Chaplygin gas equations
• Pressure and flux-approximation to the isentropic relativistic Euler equations for modified Chaplygin gas
• Two-Dimensional Subsonic Flow of Compressible Fluids
• Note on the compressible Euler equations with zero temperature

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