Lévy过程驱动的随机二维Navier-Stokes方程解的指数性态(英文)  

Exponential Behaviour of Stochastic 2D Navier-Stokes Equations Driven by Lévy Noise

作　　者：李月玲[1] 吕洪风[1] 孙晓斌[1] 谢颖超[1] 

机构地区：[1]江苏师范大学数学与统计学院,徐州221116

出　　处：《应用概率统计》2013年第2期151-166,共16页Chinese Journal of Applied Probability and Statistics

基　　金：the National Science Foundations of China(10971180,11271169);the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘　　要：本文研究了Lévy过程驱动的随机二维Navier-Stokes方程弱解的指数性态.给出了不同条件下解的长时间形态,获得了一些特殊情形下解的样本轨道的指数稳定性.In this paper, some results on the pathwise exponential stability are established for the weak solutions of stochastic 2D Navier-Stokes equation driven by Levy noise. Also, some results and comments concerning the stabilizability and stabilization of these equations are stated.

关 键 词：2维Navier-Stokes方程 LÉVY过程 稳定性 指数稳定性 

分 类 号：O211.63[理学—概率论与数理统计]