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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…