PENCIL-BEAM APPROXIMATION OF FRACTIONAL FOKKER-PLANCK

被引：1

作者：

Bal, Guillaume ^{[1
]}

Palacios, Benjamin ^{[2
]}

机构：

[1] Univ Chicago, Dept Stat & Math, 5747 S Ellis Ave,Jones 120B, Chicago, IL 60637 USA

[2] Univ Chicago, Dept Stat, 5747 S Ellis Ave,Jones 316, Chicago, IL 60637 USA

来源：

基金：

美国国家科学基金会;

关键词：

Radiative transfer; Fokker-Planck; fractional Laplacian; error estimates; Wasserstein distance; singular ker-nel; RADIATIVE-TRANSFER; TRANSPORT; REGULARITY; EQUATION;

D O I：

10.3934/krm.2021024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the modeling of light beams propagating in highly forward-peaked turbulent media by fractional Fokker-Planck equations and their approximations by fractional Fermi pencil beam models. We obtain an error estimate in a 1-Wasserstein distance for the latter model showing that beam spreading is well captured by the Fermi pencil-beam approximation in the small diffusion limit.

引用

页码：767 / 817

页数：51

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