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
收藏
页码：75 / 116
页数：42
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