250 citations · 1.1k across the 130 of their papers we have counts for
5 papers · 2 filters
The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. A brief overview
Philippe G. LeFloch
This is a short review of a series of papers which, in collaboration with Yue Ma, establish several novel existence results for systems of coupled wave-Klein-Gordon equation. Our m…
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. A numerical study
Philippe G. LeFloch, Shuyang Xiang
We study the dynamical behavior of compressible fluids evolving on the outer domain of communication of a Schwarzschild background. To this end, we design several numerical methods…
Nonlocal conservation laws. I. A new class of monotonicity-preserving models
Qiang Du, Zhan Huang, Philippe G. LeFloch
We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow for nonlocal interactions over a finite horizon. The proposed model, which we ref…
Boundedness of the total energy of relativistic membranes evolving in a curved spacetime
Philippe G. LeFloch, Changhua Wei
We establish a global existence theory for the equation governing the evolution of a relativistic membrane in a (possibly curved) Lorentzian manifold, when the spacetime metric is…
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary
Jan Giesselmann, Philippe G. LeFloch
We study nonlinear hyperbolic conservation laws posed on a differential (n+1)-manifold with boundary referred to as a spacetime, and defined from a prescribed flux field of n-forms…