Free cooling and high-energy tails of granular gases with variable restitution coefficient

Ricardo J. Alonso (1) , Bertrand Lods (2)

1 Department of Computational and Applied Mathematics [Houston]
2 LMBP - Laboratoire de Mathématiques Blaise Pascal

We develop in this paper the first systematic treatment of the homogeneous Boltzmann equation for granular gases with non constant restitution coefficient, generalizing a large number of the results obtained recently for homogeneous granular gases with constant restitution coefficient to a broader class of physical restitution coefficients that depend on the collision impact velocity.

Mots clés: Inelastic Boltzmann equation; hard spheres; variable restitution coefficient; Self-similar variable; exponential tails

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Ricardo J. Alonso, Bertrand Lods. Free cooling and high-energy tails of granular gases with variable restitution coefficient. 2009. ⟨hal-00430255v1⟩