Isothermal Limit of Entropy Solutions of the Euler Equations for Isentropic Gas Dynamics

DOI10.1137/23m1549948arXiv2202.02235OpenAlexW4391647022MaRDI QIDQ6202905

Tian-Yi Wang, Fei-Min Huang, Gui-Qiang G. Chen

Publication date: 27 February 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.02235

zbMATH Keywords

vacuumstrong convergenceentropy solutionssingular limitkinetic formulationisothermal Euler equationscompactness frameworkadiabatic exponentisentropic Euler equationsentropy analysisisothermal limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Euler equations (35Q31)

Cites Work

• Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
• Convergence of the viscosity method for isentropic gas dynamics
• Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• Existence theory for the isentropic Euler equations
• Compressible Euler equations with general pressure law
• Kinetic formulation for systems of two conservation laws and elastodynamics
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Convergence of Viscosity Solutions for Isothermal Gas Dynamics
• Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
• Vanishing Viscosity Limit of the Compressible Navier--Stokes Equations with General Pressure Law
• Dependence of entropy solutions in the large for the Euler equations on nonlinear flux functions
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Solutions in the large for some nonlinear hyperbolic conservation laws
• Hyperbolic Conservation Laws in Continuum Physics
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