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arXiv · 1805.09896

Instability in a Vlasov-Fokker-Planck binary mixture

Zhu Zhang
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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}.

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Zhu Zhang. 2018-05-24. Instability in a Vlasov-Fokker-Planck binary mixture. https://doi.org/10.1016/j.jde.2018.08.006

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