20 citations · 40 across the 9 of their papers we have counts for
10 papers · 1 filter
Uniqueness in the weakly inelastic regime of the equilibrium state of the inelastic Boltzmann equation driven by a particle bath
Marzia Bisi, José Alfredo Cañizo, Bertrand Lods
We consider the spatially homogeneous Boltzmann equation for inelastic hard-spheres (with constant restitution coefficient ) under the thermalization induced by a host…
Two proofs of Haff's law for dissipative gases: the use of entropy and the weakly inelastic regime
Ricardo J. Alonso, Bertrand Lods
We revisit our recent contribution (SIAM J. Math. Analysis, 42 (2010) 2499--2538) and give two simpler proofs of the so-called Haff's law for granular gases (with non-necessarily c…
On perturbed substochastic semigroups in abstract state spaces
Luisa Arlotti, Bertrand Lods, Mustapha Mokhtar-Kharroubi
The object of this paper is twofold: In the first part, we unify and extend the recent developments on honesty theory of perturbed substochastic semigroups (on -spaces or…
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…