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 boundary, is a stationary solution on the real line with given asymptotic values at infinity. We prove the asymptotic stability of the front for small symmetric perturbations. © 2008 Springer-Verlag.
Esposito, R., Guo, Y., Marra, R. (2008). Stability of the Front under a Vlasov-Fokker-Planck Dynamics. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1-42 [10.1007/s00205-008-0184-7].
Stability of the Front under a Vlasov-Fokker-Planck Dynamics
MARRA, ROSSANA
2008-01-01
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 boundary, is a stationary solution on the real line with given asymptotic values at infinity. We prove the asymptotic stability of the front for small symmetric perturbations. © 2008 Springer-Verlag.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
