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arXiv · 2206.04001

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

Xuguang Lu
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Abstract

The classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles is proved for any $n$-dimensional velocity space with $n\ge 2$. The same classification has been proven in \cite{Lu2001} for $n=3$. Now the proof for $n\ge 2$ is based on a recent result on a characterization of Euclidean balls for all dimensions $\ge 2$.

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Xuguang Lu. 2022-06-07. Classification of equilibria for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles. https://arxiv.org/abs/2206.04001

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