07-168 R. Esposito, Y. Guo, R. Marra

Stability of the Front under a Vlasov-Fokker-Planck Dynamics (334K, PDF) Jul 2, 07

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Abstract. We consider a kinetic model for a system of two species of particles interacting through a long range 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 transition, 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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