L´evy过程驱动的随机二维Navier-Stokes方程解的指数性态

摘要

本文研究了L´evy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 L´evy noise. Also, some results and comments concerning the stabilizability and stabilization of these equations are stated.