Instability in a Vlasov-Fokker-Planck binary mixture
Analysis of PDEs
2023-08-29 v1
Abstract
This paper is concerned with a kinetic model of a Vlasov-Fokker-Planck system used to describe the evolution of two species of particles interacting through a potential and a thermal reservoir at given temperature. We prove that at low temperature, the homogeneous equilibrium is dynamically unstable under certain perturbations. Our work is motivated by a problem arising in \cite{EGM1}.
Cite
@article{arxiv.1805.09896,
title = {Instability in a Vlasov-Fokker-Planck binary mixture},
author = {Zhu Zhang},
journal= {arXiv preprint arXiv:1805.09896},
year = {2023}
}