Classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles

2022/06/07 by Xuguang Lu, Lu, Xuguang
Mathematics · Computer Science · #Gas Dynamics and Kinetic Theory #Advanced Mathematical Modeling in Engineering #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2206.04001

Abstract

The classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles is proved for any n-dimensional velocity space with n≥ 2. The same classification has been proven in \citeLu2001 for n=3. Now the proof for n≥ 2 is based on a recent result on a characterization of Euclidean balls for all dimensions ≥ 2.

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