14 citations · 20 across the 7 of their papers we have counts for
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Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime
Tuba Ceylan, Baver Okutmustur
Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into a…
The relativistic Burgers equation on a FLRW background and its finite volume approximation
Tuba Ceylan, Philippe G. LeFloch, Baver Okutmustur
A relativistic generalization of the inviscid Burgers equation was proposed by LeFloch, Makhlof, and Okutmustur and then investigated on a Schwarzschild background. Here, we extend…
The relativistic Burgers equation on a de Sitter spacetime. Derivation and finite volume approximation
Baver Okutmustur, Tuba Ceylan
The inviscid Burgers equation is one of the simplest nonlinear hyperbolic conservation law which provides a variety examples for many topics in nonlinear partial differential equat…
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation
Philippe G. LeFloch, Hasan Makhlof, Baver Okutmustur
Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz in…
Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
Philippe G. LeFloch, Baver Okutmustur
We consider nonlinear hyperbolic conservation laws, posed on a differential (n+1)-manifold with boundary referred to as a spacetime, and in which the "flux" is defined as a flux fi…
Hyperbolic conservation laws on manifolds with limited regularity
Philippe G. LeFloch, Baver Okutmustur
We introduce a formulation of the initial and boundary value problem for nonlinear hyperbolic conservation laws posed on a differential manifold endowed with a volume form, possibl…