Stability of the Front under a Vlasov-Fokker-Planck Dynamics
Mathematical Physics
2007-08-28 v1 math.MP
Abstract
We consider a kinetic model for a system of two species of particles interacting through a longrange repulsive potential and a reservoir at given temperature. The model is described by a set of two coupled Vlasov-Fokker-Plank equations. The important front solution, which represents the phase boundary, is a one-dimensional stationary solution on the real line with given asymptotic values at infinity. We prove the asymptotic stability of the front for small symmetric perturbations.
Keywords
Cite
@article{arxiv.0708.3409,
title = {Stability of the Front under a Vlasov-Fokker-Planck Dynamics},
author = {Raffaele Esposito and Yan Guo and Rossana Marra},
journal= {arXiv preprint arXiv:0708.3409},
year = {2007}
}
Comments
42 pages, latex2e