We study the Boltzmann equation for a space-homogeneous gas of inelastic hard spheres,
with a diffusive term representing a random background forcing. Under the assumption that …

The present notes are intended to present a detailed review of the existing results in
dissipative kinetic theory which make use of the contraction properties of two main families …

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 …

We quantify the long-time behavior of a system of (partially) inelastic particles in a stochastic
thermostat by means of the contractivity of a suitable metric in the set of probability …

We consider a dilute granular gas of hard spheres colliding inelastically with coefficients of
normal and tangential restitution α and β⁠, respectively. The basic quantities characterizing …

We show that the Euclidean Wasserstein distance is contractive for inelastic homogeneous
Boltzmann kinetic equations in the Maxwellian approximation and its associated Kac-like …

In this paper, we study properties of dilute granular flows, which are described by the
spatially homogeneous uniformly heated inelastic Boltzmann equation. A new modification …

We introduce a class of Kac-like kinetic equations on the real line, with general random
collisional rules which, in some special cases, identify models for granular gases with a …

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 …

We study the global existence and uniform stability estimate of mild solutions to the inelastic
Boltzmann system for gas mixtures, when initial data are small and decay exponentially in …