Large time behaviour for the Fokker-Planck equation with general potential

被引：3

作者：

Li, Te ^{[1
]}

Zhang, Zhifei ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fokker-Planck equation; large time behavior; hypocoercivity method; EQUILIBRIUM; TREND;

D O I：

10.1007/s11425-017-9084-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the large time behaviour of the solution of the Fokker-Planck equation with general potential. For the long range potential, we prove the polynomial decay estimate in time of the solution. For the slowly growing potential, we prove the sub-exponential convergence of the solution toward the equilibrium.

引用

页码：137 / 150

页数：14

共 50 条

[21] INPAINTING WITH FOKKER-PLANCK EQUATION
Ignat, Anca
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2019, 20 (03): : 225 - 233
[22] The Wigner(-Poisson)-Fokker-Planck equation with singular potential
Li, Bin
Shen, Jie-qiong
APPLICABLE ANALYSIS, 2017, 96 (04) : 563 - 577
[23] Numerical algorithm for the time fractional Fokker-Planck equation
Deng, Weihua
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 227 (02) : 1510 - 1522
[24] The Fokker-Planck Equation with Absorbing Boundary Conditions
Hwang, Hyung Ju
Jang, Juhi
Velazquez, Juan J. L.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2014, 214 (01) : 183 - 233
[25] The Fokker-Planck equation with subcritical confinement force
Kavian, Otared
Mischler, Stephane
Ndao, Mamadou
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 151 : 171 - 211
[26] Fokker-Planck equation for fractional systems
Tarasov, Vasily E.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2007, 21 (06): : 955 - 967
[27] Fokker-Planck equation on metric graphs
Matrasulov, J.
Sabirov, K.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 608
[28] Copulas from the Fokker-Planck equation
Choe, Hi Jun
Ahn, Cheonghee
Kim, Beom Jin
Ma, Yong-Ki
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 406 (02) : 519 - 530
[29] The variational formulation of the Fokker-Planck equation
Jordan, R
Kinderlehrer, D
Otto, F
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (01) : 1 - 17
[30] Free energy and the Fokker-Planck equation
Jordan, R
Kinderlehrer, D
Otto, F
PHYSICA D, 1997, 107 (2-4): : 265 - 271

← 1 2 3 4 5 →