Perturbations of Positive Semigroups with Applications is a self-contained introduction to
semigroup theory with emphasis on positive semigroups on Banach lattices and …

A kinetic approach is presented for the analysis of a gas mixture with two kinds of
nonconservative interactions. In a bimolecular chemical reaction, mass transfer and energy …

In this paper we analyse properties of collision operators which occur in linear Boltzmann–
Maxwell models with inelastic scattering. In particular, we prove the solvability of the Cauchy …

In the frame of extended kinetic theory, a kinetic model is proposed, which allows for elastic
and inelastic scattering. The gas atoms have an internal structure, namely an arbitrary finite …

Mathematical modelling for practical purposes of multicomponent gaseous flows with
chemical reactions is a fundamental problem in the scientific literature, and an extensive …

We prove a posteriori error estimates for a finite element method for steady-state, energy
dependent, Fokker–Planck and Fermi pencil beam equations in two space dimensions and …

The problem of a gas mixture of four multilevel molecules undergoing a reversible
bimolecular chemical reaction plus mechanical encounters, leading to elastic or inelastic …

In this paper we perform an asymptotic analysis of a singularly perturbed linear Boltzmann
equation with inelastic scattering operator in the Lorentz gas limit, when the parameter …

This paper is devoted to the study of solvability of an evolution equation obtained as a
hydrodynamic limit of a linear Boltzmann equation with elastic and inelastic scattering terms …

In this paper we survey various hydrodynamic/diffusive limits which can occur in the linear
kinetic equation describing elastic and inelastic collisions when the involved operators act …