250 citations · 1.1k across the 130 of their papers we have counts for
76 papers · 1 filter
A nonlinear rod linkage model: zero-energy chains and continuum consistency
Dennis Kriventsov, Philippe G. LeFloch
We study a discrete Lagrangian model for a one-dimensional chain of rigid rods coupled by elastic springs. We characterize the geometry of its zero-energy constraint and distinguis…
Finite-energy spacetimes with torus symmetry. Cauchy stability of Einstein-Euler and Einstein-Navier-Stokes areal flows
Bruno Le Floch, Philippe G. LeFloch
We establish finite-energy Cauchy stability for vacuum and matter spacetimes with symmetry on , under general constitutive equations satisfying hyperbolicity and mild as…
Harmonic, radial, and shell stability of the weighted Einstein constraints on the sphere at infinity
Bruno Le Floch, Philippe G. LeFloch
We consider fourth-order and second-order partial differential operators localized on domains of the sphere in arbitrary dimension. These operators arise as weighted compositions o…
Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model
Philippe G. LeFloch, Jesús Oliver, Yoshio Tsutsumi
We consider the global evolution problem for a model which couples together a nonlinear wave equation and a nonlinear Klein-Gordon equation, and was independently introduced by LeF…
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…