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

CAS - Academy of Mathematics and System Sciences
University of Science and Technology of China

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

37 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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T1 - Large deviation principles for 3D stochastic primitive equations

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AU - Zhai, Jianliang

AU - Zhang, Rangrang

PY - 2017/9/5

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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

UR - https://www.scopus.com/pages/publications/85019014083

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DO - 10.1016/j.jde.2017.04.025

M3 - Article

AN - SCOPUS:85019014083

SN - 0022-0396

VL - 263

SP - 3110

EP - 3146

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 5

ER -

Large deviation principles for 3D stochastic primitive equations

Abstract

Keywords

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