Finite volume approximation of the relativistic Burgers equation on a Schwarzschild--(anti-)de Sitter spacetime

DOI10.3906/MAT-1602-38zbMath1424.76049OpenAlexW2744179879MaRDI QIDQ4633343

Tuba Ceylan, Baver Okutmustur

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1602-38

zbMATH Keywords

spacetimefinite volume methodGodunov schemeSchwarzschild-de Sitter metricSchwarzschild-de Sitter backgroundrelativistic Burgers equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Hyperbolic equations on manifolds (58J45)

Related Items (2)

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

Cites Work

• Finite volume schemes on Lorentzian manifolds
• Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation
• On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
• Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
• Finite Volume Methods for Hyperbolic Problems
• Finite volume approximation of the relativistic Burgers equation on a Schwarzschild--(anti-)de Sitter spacetime
• A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime

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