Levy过程驱动的随机二维Navier-Stokes方程解的指数性态

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

摘要: 本文研究了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.

Abstract: In this paper, some results on the pathwise exponential stability are established for the weak solutions of stochastic 2D Navier-Stokes equation driven by noise. Also, some results and comments concerning the stabilizability and stabilization of these equations are stated.