6 citations · 18 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Properties of some dynamical systems for three collapsing inelastic particles
Théophile Dolmaire, Juan J. L. Velázquez
In this article we continue the study of the collapse of three inelastic particles in dimension , complementing the results we obtained in its companion paper. We focus o…
An Alexander-like theorem for a particle model with inelastic collisions
Théophile Dolmaire, Juan J. L. Velázquez
We consider a finite system of hard spheres that collide inelastically according to a particular model, losing a fixed amount of kinetic energy at each collision. We develop the th…
Collapse of inelastic hard spheres in dimension
Théophile Dolmaire, Juan J. L. Velázquez
We investigate the collapse of three inelastic particles in dimension . We obtain general results of convergence and asymptotics concerning the variables of the dynamical…