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.
2008
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
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].
Esposito, R; Guo, Y; Marra, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/27737
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