# Energy method for the Boltzmann equation of monatomic gaseous mixtures

@inproceedings{Boudin2021EnergyMF, title={Energy method for the Boltzmann equation of monatomic gaseous mixtures}, author={Laurent Boudin and B{\'e}r{\'e}nice Grec and Milana Pavi'c-vColi'c and Srboljub Simi'c}, year={2021} }

In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More precisely, the perturbation of a solution to the Bolzmann equation around a global equilibrium is decomposed into the sum of a macroscopic and a microscopic part, for which we obtain a priori estimates at both lower and higher orders. These estimates are obtained under a suitable smallness assumption. The assumption can be justified a…

## One Citation

BGK model for multi-component gases near a global Maxwellian

- Mathematics
- 2022

Abstract. In this paper, we establish the existence of the unique global-in-time classical solutions to the multi-component BGK model suggested in [47] when the initial data is a small perturbation…

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