FRACTIONAL DIFFUSION LIMIT OF A LINEAR KINETIC EQUATION IN A BOUNDED DOMAIN

被引：9
作者：
Aceves-Sanchez, Pedro [1 ]
Schmeiser, Christian [1 ]
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
来源：
KINETIC AND RELATED MODELS | 2017年 / 10卷 / 03期
基金：
奥地利科学基金会;
关键词：
Kinetic transport equations; linear Boltzmann operator; anomalous diffusion limit; fractional diffusion; asymptotic analysis; TRANSPORT; MOTION;
D O I：
10.3934/krm.2017021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A version of fractional diffusion on bounded domains, subject to 'homogeneous Dirichlet boundary conditions' is derived from a kinetic transport model with homogeneous inflow boundary conditions. For nonconvex domains, the result differs from standard formulations. It can be interpreted as the forward Kolmogorow equation of a stochastic process with jumps along straight lines, remaining inside the domain.
引用
收藏
页码：541 / 551
页数：11
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