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
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.
引用
收藏
页码:2249 / 2274
页数:26
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