李月玲, 吕洪风, 孙晓斌, 谢颖超. Levy过程驱动的随机二维Navier-Stokes方程解的指数性态[J]. 应用概率统计, 2013, 29(2): 151-166.
引用本文: 李月玲, 吕洪风, 孙晓斌, 谢颖超. Levy过程驱动的随机二维Navier-Stokes方程解的指数性态[J]. 应用概率统计, 2013, 29(2): 151-166.
Li Yueling, Lv Hongfeng, Sun Xiaobin, Xie Yingchao. Exponential Behaviour of Stochastic 2D Navier-Stokes Equations Driven by Levy Noise[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(2): 151-166.
Citation: Li Yueling, Lv Hongfeng, Sun Xiaobin, Xie Yingchao. Exponential Behaviour of Stochastic 2D Navier-Stokes Equations Driven by Levy Noise[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(2): 151-166.

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.

     

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