Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613842 | Journal of Mathematical Analysis and Applications | 2017 | 24 Pages |
Abstract
The current paper is devoted to the ergodicity of stochastic Magneto-Hydrodynamic equations driven by α -stable noise with α∈(32,2). 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tianlong Shen, Jianhua Huang,