2 papers
gr-qc2012
The geometric finite volume method for compressible fluid flows on Schwarzschild spacetime
Philippe G. LeFloch, Hasan Makhlof
We consider the relativistic Euler equations governing spherically symmetric, perfect fluid flows on the outer domain of communication of Schwarzschild spacetime, and we introduce…
math.AP2012
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…