20 citations · 40 across the 7 of their papers we have counts for
4 papers · 1 filter
Spectral properties of general advection operators and weighted translation semigroups
Bertrand Lods, Mustapha Mokhtar-Kharroubi, Mohammed Sbihi
We investigate the spectral properties of a class of weighted shift semigroups associated to abstract transport equations with a Lipschitz--continuous vector field with no--reentry…
Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particles Thermal Bath
Marzia Bisi, Jose A. Carrillo, Bertrand Lods
We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host-medium with a fixed distribution. This is achie…
Variational characterizations of the effective multiplication factor of a nuclear reactor core
Bertrand Lods
We derive some new inf-sup and sup-inf formulae for the so-called effective multiplication factor arising in the study of reactor analysis. We treat in a same formalism the transpo…
Relaxation rate, diffusion approximation and Fick's law for inelastic scattering Boltzmann models
Bertrand Lods, Clément Mouhot, Giuseppe Toscani
We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified model of Maxwell molecules first, w…