Symmetric hyperbolic Euler equations for relativistic perfect fluids

2005/02/11 by Ronald A. Walton, Walton, Ronald A.
Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #advanced mathematical theories #astro-ph #gr-qc

paper · pdf · doi:10.48550/arxiv.astro-ph/0502233

6 pages

arxiv created 2005/02/11 · openalex publication_date 2005/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Euler equations governing a relativistic perfect fluid are put into symmetric hyperbolic form with dependent variables the fluid's specific entropy plus a generalized velocity vector equal to the fluid's unit relativistic velocity vector divided pointwise by the fluid's specific enthalpy.

Citations

• Symmetric hyperbolic linear differential equations

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