# Diffusion limits of the Boltzmann multi-species equation through perturbation of hypocoercivity

Andrea Bondesan
Paris Descartes University
https://helios2.mi.parisdescartes.fr/~abondesan/

Date(s) : 28/02/2023   iCal
11 h 00 min - 12 h 00 min

We discuss the rigorous derivation of hydrodynamic limits of the Boltzmann multi-species equation, when the Mach and Knudsen numbers vanish at the same rate. Solutions of the kinetic equations are constructed as fluctuations around local non-equilibrium Maxwellians, whose physical observables solve the limiting macroscopic model of interest. A general hypocoercive formalism is used to develop a uniform (with respect to the small diffusion parameter) Cauchy theory for this perturbative setting and an application to derive the Maxwell-Stefan cross-diffusion system is presented.

https://andreabondesan.wordpress.com/

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