Paper
Stability, convergence to the steady state and elastic limit for the Boltzmann equation for diffusively excited granular media
Authors
Stéphane Mischler, Clément Mouhot
Abstract
We consider a space-homogeneous gas of {\it inelastic hard spheres}, with a {\it diffusive term} representing a random background forcing (in the framework of so-called {\em constant normal restitution coefficients} for the inelasticity). In the physical regime of a small inelasticity (that is for some constructive ) we prove uniqueness of the stationary solution for given values of the restitution coefficient , the mass and the momentum, and we give various results on the linear stability and nonlinear stability of this stationary solution.