Relativistic barotropic fluids: a Godunov-Boillat formulation for their dynamics and a discussion of two special classes

DOI10.1007/s00205-018-1325-2zbMath1412.35240OpenAlexW2896700163MaRDI QIDQ1729859

Heinrich Freistühler

Publication date: 28 February 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-018-1325-2

zbMATH Keywords

cosmologyshock wavesrelativistic Euler equationGodunov-Boillat systemthermobarotropic fluids

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Shock waves and blast waves in fluid mechanics (76L05) Special relativity (83A05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Related Items (6)

Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity ⋮ A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics ⋮ Classical incompressible fluid dynamics as a limit of relativistic compressible fluid dynamics ⋮ From the relativistic mixture of gases to the relativistic Cucker-Smale flocking ⋮ Asymptotic stability in a second-order symmetric hyperbolic system modeling the relativistic dynamics of viscous heat-conductive fluids with diffusion ⋮ A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics

Cites Work

• Global solutions of the relativistic Euler equations
• Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure
• Hyperbolic systems of conservation laws II
• Relativistic theory of shock waves
• Convex covariant entropy density, symmetric conservative form, and shock waves in relativistic magnetohydrodynamics
• Stability of perfect-fluid shock waves in special and general relativity
• Systems of Conservation Equations with a Convex Extension
• The Large Scale Structure of Space-Time
• Relativistic Rankine-Hugoniot Equations
• Symmetric hyperbolic linear differential equations
• Hyperbolic Conservation Laws in Continuum Physics
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