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.

引用

页码：2249 / 2274

页数：26

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