Large deviation principle for stochastic Boussinesq equations driven by Levy noise

被引：4

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：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 439卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Large deviation principle; Boussinesq equations; Stochastic hydrodynamical systems; Levy noise; NAVIER-STOKES EQUATIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2016.02.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The current paper is devoted to dynamics of stochastic Boussinesq equation driven by Levy pure jump noise. The large deviation principle of solution is established, and the effect of the highly nonlinear and unbounded drift is stated. Moreover, the large deviation principle for stochastic two dimensional hydrodynamical systems with Levy noise is also obtained. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：523 / 550

页数：28

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