HYPERBOLIC BALANCE LAWS WITH ENTROPY ON A CURVED SPACETIME: THE WEAK–STRONG UNIQUENESS THEORY

DOI10.1142/S0219891613500288zbMath1288.35344OpenAlexW2040877849MaRDI QIDQ5415585

Philippe G. LeFloch

Publication date: 13 May 2014

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891613500288

zbMATH Keywords

entropy fieldstrictly convex entropy field

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Unnamed Item
• A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\)
• A symmetrization of the relativistic Euler equations with several spatial variables
• Local smooth solutions of the relativistic Euler equation. II
• Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
• Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation
• Sur la solution à support compact de l’equation d’Euler compressible
• A note on the relativistic Euler equations
• The Action Principle and Partial Differential Equations. (AM-146)
• Systems of Conservation Equations with a Convex Extension
• Hyperbolic Conservation Laws in Continuum Physics