Integral representation of the linear Boltzmann operator for granular gas dynamics with applications

Linear electron processes will be ana- lyzed assuming,that undisturbed potential is not negative in all the interelectrode spacing (cathode potential is taken to be zero) and

In a previous work, the geometric degree of nonconservativity of such systems, defined as the minimal number of kinematic constraints necessary to convert the initial system into

The present work provides a complete description of the homogenization of the linear Boltzmann equation for monokinetic particles in the periodic system of holes of radius ε 2

(This is easily seen for instance on formula (1.2) in the special case of the radiative transfer equation with isotropic scattering.) At variance with the usual diffusion

In this article we have proved that the solution of the linear transport equation converges in the long time limit to its global equilibrium state at an exponential rate if and only

This paper is specifically devoted to the fluid-structure interaction of a linear elastic structure filled with a linear compressible liquid (acoustic liquid), with sloshing and

processes using extensions of linear logic [15], the additive operators can be used to

However, the study of the non-linear Boltzmann equation for soft potentials without cut-off [ 20 ], and in particular the spectral analysis its linearised version (see for instance [