Fractional diffusion limit of a linear kinetic equation in a bounded domain
Analysis of PDEs
2016-07-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1607.00855,
title = {Fractional diffusion limit of a linear kinetic equation in a bounded domain},
author = {Pedro Aceves-Sanchez and Christian Schmeiser},
journal= {arXiv preprint arXiv:1607.00855},
year = {2016}
}
Comments
11 pages