4 papers · 1 filter
Boltzmann-Grad limit for the inelastic Lorentz gas: Part I. Existence, uniqueness, and rigorous derivation via weak convergence
Théophile Dolmaire, Alessia Nota
In this paper we provide a rigorous derivation of the inelastic linear Boltzmann equation, in the Boltzmann-Grad limit, from a dissipative, random, Lorentz gas in arbitrary dimensi…
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…