250 citations · 1.1k across the 130 of their papers we have counts for
145 papers
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…
Physics-informed token transformer methodology for nonlinear balance laws. I. Schwarzschild--Burgers fluid flows
Philippe G. LeFloch, Shuyang Xiang
We introduce a Physics-Informed Token Transformer (PITT) methodology for nonlinear hyperbolic balance laws in one space dimension, using piecewise steady-state profiles for the rep…
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection
Bruno Le Floch, Philippe G. LeFloch
We study the global evolution problem for the Einstein equations under T2 symmetry on T3, allowing vacuum, scalar-field, and compressible-fluid matter models, governed by a general…
Scattering laws for interfaces in self-gravitating matter flows
Bruno Le Floch, Philippe G. LeFloch
We consider the evolution of self-gravitating matter fields that may undergo phase transitions, and we connect ideas from phase transition dynamics with concepts from bouncing cosm…