GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS

被引：2
|
作者：
Luo, Lan [1 ,2 ]
Zhang, Xinping [3 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China
[3] Luoyang Inst Sci & Technol, Dept Math & Sci, Luoyang 471023, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 01期
基金：
中国国家自然科学基金;
关键词：
quantum Fokker-Planck equations; energy method; convergence rates; BOLTZMANN-EQUATION; LANDAU EQUATION; ENERGY METHOD; WHOLE SPACE; PARTICLES; SYSTEM; CONVERGENCE; EQUILIBRIUM; BEHAVIOR; FERMIONS;
D O I：
10.1016/S0252-9602(14)60147-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a class of nonlinear kinetic Fokker-Planck equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence and convergence rate to the steady state of global classical solution to such kind of equations around the steady state.
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页码：140 / 156
页数：17
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