3 papers
math-ph2019
Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations
Alexander Bobylev, Alessia Nota, Juan J. L. Velázquez
In this paper we study a generalized class of Maxwell-Boltzmann equations which in addition to the usual collision term contains a linear deformation term described by a matrix A.…
math-ph2009
Generalized kinetic Maxwell type models of granular gases
A. V. Bobylev, C. Cercignani, I. M. Gamba
We consider generalizations of kinetic granular gas models given by Boltzmann equations of Maxwell type. These type of models for non-linear elastic or inelastic interactions, have…
math-ph2003
Moment inequalities and high-energy tails for the Boltzmann equations with inelastic interactions
Alexander V. Bobylev, Irene M. Gamba, Vladislav A. Panferov
We study the high-energy asymptotics of the steady velocity distributions for model systems of granular media in various regimes. The main results obtained are integral estimates o…