Large deviation principle for a class of stochastic hydrodynamical type systems driven by multiplicative Levy noises

被引：0

作者：

Da, Nguyen Tien ^{[1
,3
]}

She, Lianbing ^{[2
]}

机构：

[1] Hong Duc Univ, Dept Nat Sci, Thanh Hoa City, Vietnam

[2] Liupanshui Normal Univ, Sch Math & Comp Sci, Liupanshui, Guizhou, Peoples R China

[3] Hong Duc Univ, Dept Nat Sci, 565 Quang Trung, Thanh Hoa City, Vietnam

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2023年 / 41卷 / 06期

关键词：

Stochastic hydrodynamical systems; large deviation principle; multiplicative Levy noise; weak convergence method; NAVIER-STOKES EQUATIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; WENTZELL LARGE DEVIATIONS; EXISTENCE;

D O I：

10.1080/07362994.2022.2151469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to the large deviation principle for a wide class of stochastic hydrodynamical systems driven by multiplicative Levy noise. The model covers many equations arising form fluid dynamics such as 2D Navier-Stokes equations, 2D MHD models and the 2D magnetic Benard problem and also shell models of turbulence. The main difficulty in proving the large deviation principle for the system is overcame by using the weak convergence method introduced by Budhiraja, Dupuis and Maroulas (Ann. Probab. 36: 1390-1420, 2008 and Annales De L Institut Henri Poincare. 47: 725-747, 2011).

引用

页码：1260 / 1299

页数：40

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