Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II

DOI10.1016/J.MATPUR.2017.09.009zbMath1411.35201OpenAlexW4253423130MaRDI QIDQ1756309

Shuyang Xiang, Philippe G. LeFloch

Publication date: 14 January 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2017.09.009

zbMATH Keywords

generalized Riemann problemGlimm methodrelativistic Burgers equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Black holes (83C57) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Weak solutions to PDEs (35D30)

Related Items (4)

A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior ⋮ Global existence for a one-dimensional non-relativistic Euler model with relaxation ⋮ A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background ⋮ Convergence of the finite volume method on a Schwarzschild background

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime
• The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation
• A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\)
• Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum
• A symmetrization of the relativistic Euler equations with several spatial variables
• A generalized Riemann problem for quasi-one-dimensional gas flows
• Quasilinear hyperbolic systems
• The deterministic version of the Glimm scheme
• An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
• The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
• Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation
• Invariants and Asymptotic Behavior of Solutions of a Conservation Law
• On the Area of the Symmetry Orbits in Weakly Regular Einstein--Euler Spacetimes with Gowdy Symmetry
• HYPERBOLIC BALANCE LAWS WITH ENTROPY ON A CURVED SPACETIME: THE WEAK–STRONG UNIQUENESS THEORY
• Solutions in the large for nonlinear hyperbolic systems of equations
• Hyperbolic Conservation Laws in Continuum Physics

This page was built for publication: Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II