Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations
type: Item
instance of: scholarly article
title: Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations
zbMATH Open document ID: 1273.76454
author: Yongcai Geng
author: Yachun Li
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2010-06-29T00:00:00Z
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q75
zbMATH DE Number: 5728648
zbMATH Keywords: Lorentz invariance
zbMATH Keywords: Newtonian limits
zbMATH Keywords: Riemann problem
zbMATH Keywords: Cauchy problem
zbMATH Keywords: shocks
zbMATH Keywords: rarefaction waves
zbMATH Keywords: Glimm's scheme
zbMATH Keywords: approximate solutions
MaRDI profile type: Publication
full work available at URL: s00033-009-0031-1
OpenAlex ID: W1991949096
cites work: Relativistic Fluids and Magneto-fluids
cites work: On the stability of the standard Riemann semigroup
cites work: Dependence of entropy solutions in the large for the Euler equations on nonlinear flux functions
cites work: Stability of Riemann solutions with large oscillation for the relativistic Euler equations
cites work: Relativistic Euler equations for isentropic fluids: stability of Riemann solutions with large oscillation
cites work: Conservation laws for relativistic fluid dynamics
cites work: Conservation laws for the relativistic P-system
cites work: Spatially periodic solutions in relativistic isentropic gas dynamics
cites work: Solutions in the large for nonlinear hyperbolic systems of equations
cites work: Global entropy solutions to the relativistic Euler equations for a class of large initial data
cites work: Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
cites work: Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with \(\gamma\)-law
cites work: Global existence of the entropy solutions to the isentropic relativistic Euler equations
cites work: Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system
cites work: Global stability of solutions with discontinuous initial data containing vacuum states for the relativistic Euler equations
cites work: Q4134347
cites work: Non-relativistic global limits of weak solutions of the relativistic Euler equation
cites work: The analytical solution of the Riemann problem in relativistic hydrodynamics
cites work: Local smooth solutions of the relativistic Euler equation
cites work: Local smooth solutions of the relativistic Euler equation. II
cites work: Global entropy solutions for isentropic relativistic fluid dynamics
cites work: Existence of global smooth solution to the relativistic Euler equations
cites work: Global solutions of the relativistic Euler equations
cites work: Q4746129
cites work: Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics
cites work: Relativistic Rankine-Hugoniot Equations
cites work: Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids
cites work: Global existence of shock front solutions in one-dimensional piston problem in the relativistic Euler equations
cites work: Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations
DOI: 10.1007/S00033-009-0031-1
Recommended article: Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
Recommended article: Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with \(\gamma\)-law
Recommended article: Global entropy solutions and Newtonian limit for the relativistic Euler equations
Recommended article: Q5493684
Recommended article: Global entropy solutions to the relativistic Euler equations for a class of large initial data
Recommended article: Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system
Recommended article: Global existence of the entropy solutions to the isentropic relativistic Euler equations
Recommended article: Non-relativistic global limits of weak solutions of the relativistic Euler equation
Recommended article: Global entropy solutions for isentropic relativistic fluid dynamics
Recommended article: Entropy solutions of the Euler equations for isothermal relativistic fluids
description: scientific article; zbMATH DE number 5728648