Stability of the Front under a Vlasov-Fokker-Planck Dynamics

Details Stability of the Front under a Vlasov-Fokker-Planck Dynamics Stability of the Front under a Vlasov-Fokker-Planck Dynamics

2007-08-24

arxiv.org/abs/0708.3409v1

Physics

Mathematical Physics

42 pages, latex2e

Scientific paper

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.

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