Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation

DOI10.1137/110857775zbMath1258.35143arXiv1206.3018OpenAlexW1972144758MaRDI QIDQ3168516

Philippe G. LeFloch, Hasan Makhlof, Baver Okutmustur

Publication date: 31 October 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3018

zbMATH Keywords

weak solution shock wave curved spacetime discontinuous solutions balance law late-time asymptotics relativistic Burgers equation nonlinear hyperbolic Lorentz invariance property

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

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