Stability of the spectral gap for the linearized Boltzmann multi-species operator around local equilibria
mardi 27 février 2018, 13h30 - 14h30
Abstract: We consider the Boltzmann multi-species equation under a classical diffusive scaling. In order to study its hydrodynamical limit, we perform a Chapman-Enskog expansion around a local Maxwellian equilibrium. The first main difficulty arising in the convergence of such kind of solutions is to understand whether the linearized multi-species operator associated to the problem possesses a spectral gap, or not. In this talk we will give a complete proof of the stability of its spectral gap for small perturbations around local equilibria.