INVARIANT MEASURES OF STOCHASTIC 2D NAVIER-STOKES EQUATIONS DRIVEN BY α-STABLE PROCESSES

被引：25

作者：

Dong, Zhao ^{[2
]}

Xu, Lihu ^{[3
]}

Zhang, Xicheng ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Guangzhou, Peoples R China

[3] Brunel Univ, Dept Math, Uxbridge UB8 3PH, Middx, England

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2011年 / 16卷

关键词：

alpha-stable process; Stochastic Navier-Stokes equation; Invariant measure; ERGODICITY;

D O I：

10.1214/ECP.v16-1664

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general Levy processes (in particular, alpha-stable processes), and obtain the existence of invariant measures.

引用

页码：678 / 688

页数：11

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