316 citations · 1.1k across the 44 of their papers we have counts for
3 papers · 2 filters
Phase Transitions in a kinetic flocking model of Cucker-Smale type
Alethea B. T. Barbaro, José A. Cañizo, José A. Carrillo +1
We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change phenomenon takes place as…
Exponential trend to equilibrium for the inelastic Boltzmann equationdriven by a particle bath
José Alfredo Cañizo, Bertrand Lods
We consider the spatially homogeneous Boltzmann equation for inelastic hard spheres (with constant restitution coefficient ) under the thermalization induced by a host…
The Fokker-Planck equation for bosons in 2D: well-possedness and asymptotic analysis
José A. Cañizo, José A. Carrillo, Philippe Laurençot +1
We show that solutions of the 2D Fokker-Planck equation for bosons are defined globally in time and converge to equilibrium, and this convergence is shown to be exponential for rad…