250 citations · 1.1k across the 130 of their papers we have counts for
5 papers · 1 filter
Gravitational singularities, scattering maps for bouncing, and structure-preserving algorithms
Philippe G. LeFloch
This note emphasizes the role of multi-scale wave structures and junction conditions in many fields of physics, from the dynamics of fluids with non-convex equations of state to th…
Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
We study the plane-symmetric collision of two gravitational waves and describe the global spacetime geometry generated by this collision. To this end, we formulate the characterist…
Singularity scattering laws for bouncing cosmologies: a brief overview
Philippe G. LeFloch
For contracting/expanding bouncing cosmologies, the formulation of junction conditions at a bouncing was recently revisited by the author in collaboration with B. Le Floch and G. V…
The mathematical theory of splitting-merging patterns in phase transition dynamics
Eva Kardhashi, Marc Laforest, Philippe G. LeFloch
For nonlinear hyperbolic systems of conservation laws in one space variable, we establish the existence of nonclassical entropy solutions exhibiting nonlinear interactions between…
The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded
Shijie Dong, Philippe G. LeFloch, Zhen Lei
Alinhac solved a long-standing open problem in 2001 and established that quasilinear wave equations in two space dimensions with quadratic null nonlinearities admit global-in-time…