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

[1] DIFFUSION LIMIT FOR KINETIC FOKKER-PLANCK EQUATION WITH HEAVY TAILS EQUILIBRIA: THE CRITICAL CASE
Cattiaux, Patrick
Nasreddine, Elissar
Puel, Marjolaine
KINETIC AND RELATED MODELS, 2019, 12 (04) : 727 - 748
[2] STABILITY OF INVERSE TRANSPORT EQUATION IN DIFFUSION SCALING AND FOKKER-PLANCK LIMIT
Chen, Ke
Li, Qin
Wang, Li
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 78 (05) : 2626 - 2647
[3] Fractional diffusion for Fokker-Planck equation with heavy tail equilibrium: An a la Koch spectral method in any dimension
Dechicha, Dahmane
Puel, Marjolaine
ASYMPTOTIC ANALYSIS, 2024, 136 (02) : 79 - 132
[4] Anomalous heat diffusion from fractional Fokker-Planck equation
Li, Shu-Nan
Cao, Bing-Yang
APPLIED MATHEMATICS LETTERS, 2020, 99 (99)
[5] Diffusion Approximation for Fokker Planck with Heavy Tail Equilibria: A Spectral Method in Dimension 1
Lebeau, Gilles
Puel, Marjolaine
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 366 (02) : 709 - 735
[6] Anomalous diffusion and anisotropic nonlinear Fokker-Planck equation
da Silva, PC
da Silva, LR
Lenzi, EK
Mendes, RS
Malacarne, LC
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 342 (1-2) : 16 - 21
[7] Levy anomalous diffusion and fractional Fokker-Planck equation
Yanovsky, VV
Chechkin, AV
Schertzer, D
Tur, AV
PHYSICA A, 2000, 282 (1-2): : 13 - 34
[8] HYDRODYNAMIC LIMIT FOR A FOKKER-PLANCK EQUATION WITH COEFFICIENTS IN SOBOLEV SPACES
Markou, Ioannis
NETWORKS AND HETEROGENEOUS MEDIA, 2017, 12 (04) : 683 - 705
[9] A generalized Fokker-Planck equation for anomalous diffusion in velocity space
Dubinova, A. A.
Trigger, S. A.
PHYSICS LETTERS A, 2012, 376 (24-25) : 1930 - 1936
[10] Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions
Lenzi, EK
Malacarne, LC
Mendes, RS
Pedron, IT
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 : 245 - 252

← 1 2 3 4 5 →