Anomalous transport of particles in plasma physics

被引：31

作者：

Cesbron, L. ^{[2
]}

Mellet, A. ^{[1
]}

Trivisa, K. ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Ecole Normale Super, F-35170 Bruz, France

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 12期

基金：

美国国家科学基金会;

关键词：

Kinetic equations; Fokker-Planck operator; Levy statistic; Anomalous diffusion limit; Fractional heat equation; FOKKER-PLANCK EQUATION; KINETIC-EQUATIONS; DIFFUSION LIMIT;

D O I：

10.1016/j.aml.2012.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the long time/small mean-free-path asymptotic behavior of the solutions of a Vlasov-Levy-Fokker-Planck equation and show that the asymptotic dynamics for the VLFP are described by an anomalous diffusion equation. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2344 / 2348

页数：5

共 8 条

[1] ANOMALOUS DIFFUSION LIMIT FOR KINETIC EQUATIONS WITH DEGENERATE COLLISION FREQUENCY [J].