Equilibria and linear stability for the Boltzmann equation with radial anharmonic confining potentials

Ling-bing He, Jie Ji, Wu-wei Li

We study the Boltzmann equation in the whole space under the radial anharmonic confining potentials $\Phi (x)=|x{|}^p/p$ for $p>2$ and $\Phi (x)=⟨x{⟩}^p/p$ for $1<p<2$. We first c…