3 papers
math.FA2022
Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
Thomas Borsoni, Laurent Boudin, Francesco Salvarani
In this paper, we investigate a compactness property of the linearized Boltzmann operator in the context of a polyatomic gas whose molecules undergo resonant collisions. The peculi…
math.AP2021
Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions
Laurent Boudin, Francesco Salvarani, Emmanuel Trélat
We consider finite and infinite-dimensional first-order consensus systems with timeconstant interaction coefficients. For symmetric coefficients, convergence to consensus is classi…
math-ph2018
Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions
Andrea Bondesan, Laurent Boudin, Marc Briant +1
We consider the Boltzmann operator for mixtures with cutoff Maxwellian, hard potentials, or hard spheres collision kernels. In a perturbative regime around the global Maxwellian eq…