A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime

DOI10.4208/cicp.020415.260717azbMath1488.65328OpenAlexW2913140276WikidataQ128533158 ScholiaQ128533158MaRDI QIDQ5159063

Baver Okutmustur, Tuba Ceylan, Philippe G. LeFloch

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/11511/46906

zbMATH Keywords

finite volume schemehyperbolic balance lawFLRW metricrelativistic Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite volume methods applied to problems in fluid mechanics (76M12) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior ⋮ Classical solution to relativistic Burger’s equation in SdS and SAdS space-times ⋮ Finite volume approximation of the relativistic Burgers equation on a Schwarzschild--(anti-)de Sitter spacetime ⋮ Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ Classical solutions to relativistic Burgers equations in FLRW space-times ⋮ Convergence of the finite volume method on a Schwarzschild background ⋮ Asymptotic structure of cosmological fluid flows: a numerical study

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