Young Researchers Workshop:
Kinetic and macroscopic models for complex systems

Viscoelastic granular materials: Intermediate Gaussian asymptotic state, exponential lower bounds and propagation of regularity

Ricardo Alonso

Rice University

We investigate the long time behavior of a system of viscoelastic particles modeled with the homogeneous Boltzmann equation and prove the existence of a universal intermediate Gaussian asymptotic state and explicit rate of convergence towards it. Exponential lower pointwise bounds and propagation of regularity are also presented. These results can be seen as the generalization of several classical facts holding for the pseudo-Maxwellian and constant normal restitution models.