Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics

被引：1
|
作者：
Hu, W. [1 ]
Sverak, V. [2 ]
机构：
[1] Missouri Univ Sci & Technol, Rolla, MO 65401 USA
[2] Univ Minnesota, Minneapolis, MN 55455 USA
来源：
JOURNAL OF NONLINEAR SCIENCE | 2018年 / 28卷 / 06期
基金：
美国国家科学基金会;
关键词：
Lie groups; Left-invariant metrics; Geodesics; Stochastic perturbations; 35H20; 22-02; 34F05; NAVIER-STOKES EQUATIONS; LANGEVIN EQUATION; CONTROLLABILITY; ERGODICITY;
D O I：
10.1007/s00332-018-9446-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider stochastic perturbations of geodesic flow for left-invariant metrics on finite-dimensional Lie groups and study the Hormander condition and some properties of the solutions of the corresponding Fokker-Planck equations.
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页码：2249 / 2274
页数：26
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