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

共 50 条

[31] A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions
Desvillettes, L
Ricci, V
JOURNAL OF STATISTICAL PHYSICS, 2001, 104 (5-6) : 1173 - 1189
[32] AN OPERATOR SPLITTING SCHEME FOR THE FRACTIONAL KINETIC FOKKER-PLANCK EQUATION
Duong, Manh Hong
Lu, Yulong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (10) : 5707 - 5727
[33] Green function for a non-Markovian Fokker-Planck equation: Comb-model and anomalous diffusion
da Silva, L. R.
Tateishi, A. A.
Lenzi, M. K.
Lenzi, E. K.
da Silva, P. C.
BRAZILIAN JOURNAL OF PHYSICS, 2009, 39 (2A) : 483 - 487
[34] Generalized Fokker-Planck equation: Derivation and exact solutions
Denisov, S. I.
Horsthemke, W.
Haenggi, P.
EUROPEAN PHYSICAL JOURNAL B, 2009, 68 (04) : 567 - 575
[35] A nonlinear Fokker-Planck equation approach for interacting systems: Anomalous diffusion and Tsallis statistics
Marin, D.
Ribeiro, M. A.
Ribeiro, H., V
Lenzi, E. K.
PHYSICS LETTERS A, 2018, 382 (29) : 1903 - 1907
[36] A finite element/Fourier treatment of the Fokker-Planck equation
Spencer, J. Andrew
Ji, Jeong-Young
Held, Eric D.
JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (18) : 6192 - 6206
[37] Numerical Method for the Time Fractional Fokker-Planck Equation
Cao, Xue-Nian
Fu, Jiang-Li
Huang, Hu
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2012, 4 (06) : 848 - 863
[38] Adjoint Fokker-Planck equation and runaway electron dynamics
Liu, Chang
Brennan, Dylan P.
Bhattacharjee, Amitava
Boozer, Allen H.
PHYSICS OF PLASMAS, 2016, 23 (01)
[39] Multi-diffusive nonlinear Fokker-Planck equation
Ribeiro, Mauricio S.
Casas, Gabriela A.
Nobre, Fernando D.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (06)
[40] Transport in the spatially tempered, fractional Fokker-Planck equation
Kullberg, A.
del-Castillo-Negrete, D.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (25)

← 1 2 3 4 5 →