Hydrodynamic limit of Boltzmann equations for gas mixture

Tianfang Wu,Xiongfeng Yang

doi:10.1016/j.jde.2023.09.009

Hydrodynamic limit of Boltzmann equations for gas mixture

Tianfang Wu, Xiongfeng Yang

https://doi.org/10.1016/j.jde.2023.09.009

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Journal: Journal of Differential Equations	Publication Date: Sep 21, 2023
Citations: 1

Affiliation: Shanghai Jiao Tong University

#Equations For Mixture #Hilbert Expansion + Show 8 more

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Abstract

In this paper, we study the hydrodynamic limit of Boltzmann equations for gas mixture by Hilbert expansion method. We formally derive all the terms in the Hilbert expansion of Boltzmann equations according to different order about the Knudsen number. Then we truncate the expansion and justify the hydrodynamic limit of Boltzmann equations by establishing the uniform estimates of the remainder term. Our approach is based on L2−L∞ framework, which is motivated by the study of the single Boltzmann equation in [22].

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