EXPONENTIAL CONVERGENCE FOR THE 3D STOCHASTIC CUBIC GINZBURG-LANDAU EQUATION WITH DEGENERATE NOISE

被引：1
|
作者：
Zheng, Yan [1 ]
Huang, Jianhua [1 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 10期
关键词：
Stochastic Ginzburg-Landau equations; exponential mixing; ergodicity; degenerate noise; NAVIER-STOKES EQUATIONS; ERGODICITY;
D O I：
10.3934/dcdsb.2019075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The current paper is devoted to 3D stochastic Ginzburg-Landau equation with degenerate random forcing. We prove that the corresponding Markov semigroup possesses an exponentially attracting invariant measure. To accomplish this, firstly we establish a type of gradient inequality, which is also essential to proving asymptotic strong Feller property. Then we prove that the corresponding dynamical system possesses a strong type of Lyapunov structure and is of a relatively weak form of irreducibility.
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页码：5621 / 5632
页数：12
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