Ergodicity of stochastic Magneto-Hydrodynamic equations driven by α-stable noise

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Shen, Tianlong¹  Huang, Shanhua¹ 

[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China

关键词: Stochastic Magneto-Hydrodynamic equation;    Ergodicity;    alpha-Stable noises;    Invariant measure;   

DOI  :  10.1016/j.jmaa.2016.08.050

来源: Elsevier

【 摘 要 】

The current paper is devoted to the ergodicity of stochastic Magneto-Hydrodynamic equations driven by alpha-stable noise with alpha is an element of (3/2, 2). By the maximal inequality for the stochastic alpha-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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free