Large deviation principles for 3D stochastic primitive equations

Zhao Dong; Jianliang Zhai; Rangrang Zhang

doi:10.1016/j.jde.2017.04.025

Large deviation principles for 3D stochastic primitive equations

Zhao Dong, Jianliang Zhai, Rangrang Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

In this paper, we establish the Freidlin–Wentzell's large deviations for 3D stochastic primitive equations with small noise perturbation. The weak convergence approach plays an important role.

Original language	English
Pages (from-to)	3110-3146
Number of pages	37
Journal	Journal of Differential Equations
Volume	263
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2017.04.025
Publication status	Published - 5 Sept 2017

Keywords

Large deviations
Primitive equation
Weak convergence method

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10.1016/j.jde.2017.04.025

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title = "Large deviation principles for 3D stochastic primitive equations",

abstract = "In this paper, we establish the Freidlin–Wentzell's large deviations for 3D stochastic primitive equations with small noise perturbation. The weak convergence approach plays an important role.",

keywords = "Large deviations, Primitive equation, Weak convergence method",

author = "Zhao Dong and Jianliang Zhai and Rangrang Zhang",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

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doi = "10.1016/j.jde.2017.04.025",

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AU - Zhai, Jianliang

AU - Zhang, Rangrang

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N2 - In this paper, we establish the Freidlin–Wentzell's large deviations for 3D stochastic primitive equations with small noise perturbation. The weak convergence approach plays an important role.

AB - In this paper, we establish the Freidlin–Wentzell's large deviations for 3D stochastic primitive equations with small noise perturbation. The weak convergence approach plays an important role.

KW - Large deviations

KW - Primitive equation

KW - Weak convergence method

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DO - 10.1016/j.jde.2017.04.025

M3 - Article

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VL - 263

SP - 3110

EP - 3146

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 5

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Large deviation principles for 3D stochastic primitive equations

Abstract

Keywords

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