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arXiv · 2510.12331

Convergence to a non-explicit steady state in non-factorized kinetic Fokker-Planck equations with (very) weak velocity confinements

Emeric Bouin·Luca Ziviani
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Abstract

In this article, we prove some convergence results for kinetic Fokker-Planck equations with strong space confinement but fat-tailed local equilibria and non-explicit global steady states. We extend the results of \cite{C21} to a wider class of fat-tailed local equilibria, with rates of convergence in a large class of weighted $\sfL^1$ spaces. We complement our results with numerical simulations to investigate the shape of the non-explicit steady state.

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Emeric Bouin, Luca Ziviani. 2025-10-14. Convergence to a non-explicit steady state in non-factorized kinetic Fokker-Planck equations with (very) weak velocity confinements. https://arxiv.org/abs/2510.12331

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