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math.DS2025
Four collapsing one-dimensional particles: a dynamical system approach of the spherical billiard reduction
Roberto Castorrini, Théophile Dolmaire
We consider a system of four one-dimensional inelastic hard spheres evolving on the real line , and colliding according to a scattering law characterized by a fixed res…
math.DS2024
One-dimensional inelastic collapse of four particles: asymmetric collision sequences and spherical billiard reduction
Théophile Dolmaire, Eleni Hübner-Rosenau
We consider a one-dimensional system of four inelastic hard spheres, colliding with a fixed restitution coefficient , and we study the inelastic collapse phenomenon for such a p…