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

被引：16

作者：

Esposito, R. ^{[1
]}

Guo, Y. ^{[2
]}

Marra, R. ^{[3
,4
]}

机构：

[1] Univ Aquila, Dipartimento Matemat, I-67100 Coppito, AQ, Italy

[2] Brown Univ, Div Appl Math, Providence, RI 02812 USA

[3] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy

[4] Univ Roma Tor Vergata, Unita INFN, I-00133 Rome, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2010年 / 195卷 / 01期

基金：

美国国家科学基金会;

关键词：

POISSON-BOLTZMANN SYSTEM; PHASE KINETICS EQUATION; EXCESS FREE-ENERGY; CONSERVATION LAW; GLOBAL-SOLUTIONS; ALGEBRAIC RATE; DECAY; SEGREGATION;

D O I：

10.1007/s00205-008-0184-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：75 / 116

页数：42