The kinetics of granular gases, including both freely cooling and steadily driven systems, is
studied experimentally in quasi-two-dimensional cells. Under microgravity conditions …

The Cauchy problem for the inelastic Boltzmann equation is studied for small data.
Existence and uniqueness of mild and weak solutions are obtained for sufficiently small data …

A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived
formally, and first analytical and numerical results are presented. The model is based on the …

A new type of kinetic models with non-instantaneous binary collisions is considered.
Collisions are described by a transport process in the joint state space of a pair of particles …

The goal of this paper is to extend the existence result of measure-valued solution to the
Boltzmann equation in elastic interaction, given by Morimoto–Wang–Yang in (J Stat Phys …

The L 1 and BV-type stability to mild solutions of the inelastic Boltzmann equation is given in
this paper. The result is an extension of the stability of the classical solution of the elastic …

The Cauchy problem for the inelastic Enskog equation is considered for near-vacuum data.
The global existence of mild and classical solutions of the inelastic Enskog equation is …

We consider two popular models derived from the theory of gran-ular gases. The first model
is the inelastic Boltzmann equation with a diffusion term representing the heat bath, the …