GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS

被引：0
|
作者：
罗兰 [1 ,2 ]
张新平 [3 ]
机构：
[1] School of Mathematics and Information Science, Guangzhou University
[2] Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University
[3] Department of Mathematics and Sciences, Luoyang Institute of Science and Technology
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;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程]; O413.1 [量子力学（波动力学、矩阵力学）];
学科分类号：
070104 ; 070205 ; 0809 ;
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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