DIFFUSION LIMIT OF FOKKER-PLANCK EQUATION WITH HEAVY TAIL EQUILIBRIA

被引：6

作者：

Nasreddine, Elissar ^{[1
]}

Puel, Marjolaine ^{[2
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, F-31062 Toulouse, France

[2] Univ Nice, Lab Dieudonne, F-06108 Nice 2, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2015年 / 49卷 / 01期

关键词：

Fokker Plank; diffusion limit; heavy tail; Cauchy distribution; ANOMALOUS DIFFUSION; KINETIC-EQUATIONS; TRANSPORT;

D O I：

10.1051/m2an/2014020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the diffusion limit of the Fokker-Planck equation of plasma physics, in which the equilibrium function decays towards zero at infinity like a negative power function. We prove that for an appropriate time scale, in a suitable weighted Sobolev space, the small mean free path limit gives rise to a diffusion equation.

引用

页码：1 / 17

页数：17

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