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.
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页码：1 / 17
页数：17
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