Ergodicity of stochastic Magneto-Hydrodynamic equations driven by α-stable noise
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- 作者：Tianlong Shen shentianlong303@163.com" class="auth_mail" title="E-mail the corresponding author ; Jianhua Huang ; jhhuang32@nudt.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Stochastic Magneto-Hydrodynamic equation ; Ergodicity ; α-Stable noises ; Invariant measure
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2017
- 出版时间：1 February 2017
- 年：2017
- 卷：446
- 期：1
- 页码：746-769
- 全文大小：447 K
文摘
The current paper is devoted to the ergodicity of stochastic Magneto-Hydrodynamic equations driven by α -stable noise with 
. By the maximal inequality for the stochastic α-stable convolution and vorticity transformation, the well-posedness of the mild solution for stochastic Magneto-Hydrodynamic equation is established. Due to the discontinuous trajectories, the existence and uniqueness of the invariant measure for stochastic Magneto-Hydrodynamic equation are obtained by the strong Feller property and the accessibility to zero instead of the irreducibility.
. By the maximal inequality for the stochastic α-stable convolution and vorticity transformation, the well-posedness of the mild solution for stochastic Magneto-Hydrodynamic equation is established. Due to the discontinuous trajectories, the existence and uniqueness of the invariant measure for stochastic Magneto-Hydrodynamic equation are obtained by the strong Feller property and the accessibility to zero instead of the irreducibility.