Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative Levy noises

被引：55

作者：

Zhai, Jianliang ^{[1
]}

Zhang, Tusheng ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

BERNOULLI | 2015年 / 21卷 / 04期

关键词：

Brownian motions; large deviations; Poisson random measures; Skorohod representation; stochastic Navier-Stokes equations; tightness; PARTIAL-DIFFERENTIAL-EQUATIONS;

D O I：

10.3150/14-BEJ647

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 paper, we establish a large deviation principle for two-dimensional stochastic Navier-Stokes equations driven by multiplicative Levy noises. The weak convergence method introduced by Budhiraja, Dupuis and Maroulas [Ann. Inst. Henri Poincare Probab. Stat. 47 (2011) 725-747] plays a key role.

引用

页码：2351 / 2392

页数：42

共 40 条

[1] STOPPING TIMES AND TIGHTNESS [J].

ALDOUS, D .

ANNALS OF PROBABILITY, 1978, 6 (02) :335-340

[2]

[Anonymous], 1992, ENCY MATH ITS APPL, DOI DOI 10.1017/CBO9780511666223

[3]

Bensoussan A., 1973, J FUNCT ANAL, V13, P195

[4] Large deviation principle and inviscid shell models [J].

Bessaih, Hakima ;

Millet, Annie .

ELECTRONIC JOURNAL OF PROBABILITY, 2009, 14 :2551-2579

[5]

Boué M, 1998, ANN PROBAB, V26, P1641

[6] Strong solutions for SPDE with locally monotone coefficients driven by Levy noise [J].

Brzezniak, Zdzislaw ;

Liu, Wei ;

Zhu, Jiahui .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 17 :283-310

[7]

Budhiraja A., 2000, Probab. Math. Statistics-Wroclaw University, V20, P39

[8] Large deviations for infinite dimensional stochastic dynamical systems [J].

Budhiraja, Amarjit ;

Dupuis, Paul ;

Maroulas, Vasileios .

ANNALS OF PROBABILITY, 2008, 36 (04) :1390-1420

[9] Large deviations for stochastic partial differential equations driven by a Poisson random measure [J].

Budhiraja, Amarjit ;

Chen, Jiang ;

Dupuis, Paul .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (02) :523-560

[10] Variational representations for continuous time processes [J].

Budhiraja, Amarjit ;

Dupuis, Paul ;

Maroulas, Vasileios .

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2011, 47 (03) :725-747

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