Global entropy solutions and Newtonian limit for the relativistic Euler equations

DOI10.1007/s40818-022-00123-8zbMath1490.35260arXiv2002.01438OpenAlexW3004789198WikidataQ114218671 ScholiaQ114218671MaRDI QIDQ2141671

Matthew R. I. Schrecker, Gui-Qiang G. Chen

Publication date: 25 May 2022

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01438

zbMATH Keywords

fundamental solutionscompactnessvanishing viscosity methodentropy solutionscompensated compactnesssolution operatorrelativistic Euler equationsNewtonian limitentropy kernelentropy-flux kernel

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Special relativity (83A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31) Initial value problems for first-order hyperbolic equations (35L03)

Uses Software

• DLMF

Cites Work

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