Numerical analysis of relativistic burgers model on FLRW spacetime

Date

2017-07-17

Author

Okutmuştur, Baver

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A relativistic generalization of Burgers equations was proposed by LeFloch, Makhlof, and Okutmustur and then investigated on Schwarzschild, de Sitter, Schwarzschild--de Sitter and Schwarzschild--Anti--de Sitter spacetimes. In this work, we extend these analysis to a Friedmann--Lemaitre--Robertson--Walker (FLRW) background. This problem is more challenging due to the existence of nontrivial spatially homogeneous solutions. We derive the relativistic Burgers model under consideration and determine its spatially homogeneous solutions. We design a numerical scheme based on a finite volume technique, which is well-preserving in the sense that spatially homogeneous solutions are preserved at the discrete level of approximation. Numerical experiments demonstrate the efficiency of the proposed method for solutions that may contain shock waves.

Subject Keywords

Alpha-helix proteins, Nonlinear self-adjointness, Conservation laws

URI

https://hdl.handle.net/11511/74652
http://www.sdea3.org/files/downloads/SDEAIII-Abstract-Book.pdf

Conference Name

International Conference on Symmetries, Differential Equations and Applications (SDEA-III), (14 - 17 Temmuz 2017)

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

B. Okutmuştur, “Numerical analysis of relativistic burgers model on FLRW spacetime,” İstanbul, Türkiye, 2017, p. 32, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/74652.