139 citations · 453 across the 6 of their papers we have counts for
3 papers · 1 filter
A new interaction potential for swarming models
J. A. Carrillo, S. Martin, V. Panferov
We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions betwe…
Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
I. M. Gamba, V. Panferov, C. Villani
For the spatially homogeneous Boltzmann equation with cutoff hard potentials it is shown that solutions remain bounded from above, uniformly in time, by a Maxwellian distribution,…
On the Boltzmann equation for diffusively excited granular media
Irene M. Gamba, Vladislav Panferov, Cedric Villani
We study the Boltzmann equation for a space-homogeneous gas of inelastic hard spheres, with a diffusive term representing a random background forcing. Under the assumption that the…