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

被引：11
|
作者：
Shen, Tianlong [1 ]
Huang, Shanhua [1 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 446卷 / 01期
关键词：
Stochastic Magneto-Hydrodynamic equation; Ergodicity; alpha-Stable noises; Invariant measure; NAVIER-STOKES EQUATIONS; VISCOUS MHD EQUATIONS; EXPONENTIAL ERGODICITY; REGULARITY CRITERIA; WEAK SOLUTIONS; FLOWS DRIVEN; LEVY NOISE; EXISTENCE; SPDES;
D O I：
10.1016/j.jmaa.2016.08.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：746 / 769
页数：24
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