Large deviation principles for 3D stochastic primitive equations

Dong Zhao; Zhai Jianliang; Zhang Rangrang

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Large deviation principles for 3D stochastic primitive equations

机译：三维随机原始方程的大偏差原理

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摘要

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. (C) 2017 Elsevier Inc. All rights reserved.

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来源
《Journal of Differential Equations》 |2017年第5期|共37页
作者
Dong Zhao; Zhai Jianliang; Zhang Rangrang;
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作者单位

Univ Chinese Acad Sci Acad Math &

Syst Sci 55 Zhongguancun East Rd Beijing 100190 Peoples R China;

Univ Sci &

Technol China Chinese Acad Sci Sch Math Sci Wu Wen Tsun Key Lab Math Hefei 230026 Peoples R China;

Beijing Inst Technol Dept Math 5 Zhongguancun South St Beijing 100081 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
Primitive equation; Large deviations; Weak convergence method;

机译：原始方程;大偏差;弱收敛方法;

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专利

1. Large deviation principles for 3D stochastic primitive equations [J] . Dong Zhao, Zhai Jianliang, Zhang Rangrang Journal of Differential Equations . 2017,第5期

机译：三维随机原始方程的大偏差原理
2. Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles [J] . R?ckner M., Zhang T. Journal of Differential Equations . 2012,第1期

机译：随机3D驯服的Navier-Stokes方程：存在性，唯一性和小时间大偏差原理
3. Well-posedness and large deviations for the stochastic primitive equations in two space dimensions [J] . Gao H., Sun C. Communications in mathematical sciences . 2012,第2期

机译：二维空间中随机本原方程的适定性和大偏差
4. Large Deviations for Stochastic Fractional Differential Equations [C] . Murugan Suvinthra Conference on non-integer order calculus and its applications . 2016

机译：随机分数阶微分方程的大偏差
5. Large deviations results for some stochastic partial differential equations. [D] . Vilarrubi, Roberto. 1994

机译：某些随机偏微分方程的偏差较大。
6. Large deviation principle for the mean reflected stochastic differential equation with jumps [O] . Yumeng Li -1

机译：跳跃平均反射随机微分方程的大偏差原理
7. Large deviation principles for 3D stochastic primitive equations [O] . Dong, Zhao, Zhai, Jianliang, Zhang, Rangrang 2016

机译：三维随机原始方程的大偏差原理
8. Moderate Deviation Principles for Stochastic Differential Equations with Jumps. [R] . Budhiraja, A., Dupuis, P., Ganguly, A. 2014

机译：具有跳跃的随机微分方程的中偏差原理。

Large deviation principles for 3D stochastic primitive equations

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