3 papers
math.DS2021
Braids of the N-body problem II: carousel solutions by cabling central configurations
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of relative periodic solutions of the planar -body problem starting with bodies moving close to a non-degenerate central configuratio…
math.GT2017
A localization formula for equivariant Lyusternik-Schnirelmann category
Marine Fontaine, James Montaldi
The LS-category of a topological space is a numerical homotopy invariant, introduced originally in a course on the global calculus of variations by Lyusternik and Schnirelmann, to…
math.AP2017
Stable Ground States for the HMF Poisson Model
Marine Fontaine, Mohammed Lemou, Florian Méhats
In this paper we prove the nonlinear orbital stability of a large class of steady states solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential.…