Stochastic 2D primitive equations: Central limit theorem and moderate deviation principle

Rangrang Zhang; Guoli Zhou; Boling Guo

doi:10.1016/j.camwa.2018.10.025

Stochastic 2D primitive equations: Central limit theorem and moderate deviation principle

Rangrang Zhang
, Guoli Zhou^*
, Boling Guo

^*此作品的通讯作者

数学学院

Chongqing University
IAPCM

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

In this paper, we establish a central limit theorem and a moderate deviation for two-dimensional stochastic primitive equations driven by multiplicative noise. This is the first result about the limit theorem and the moderate deviations for stochastic primitive equations. The proof of the results relies on the weak convergence method and some delicate and careful apriori estimates.

源语言	英语
页（从-至）	928-946
页数	19
期刊	Computers and Mathematics with Applications
卷	77
期	4
DOI	https://doi.org/10.1016/j.camwa.2018.10.025
出版状态	已出版 - 15 2月 2019

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10.1016/j.camwa.2018.10.025

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title = "Stochastic 2D primitive equations: Central limit theorem and moderate deviation principle",

abstract = "In this paper, we establish a central limit theorem and a moderate deviation for two-dimensional stochastic primitive equations driven by multiplicative noise. This is the first result about the limit theorem and the moderate deviations for stochastic primitive equations. The proof of the results relies on the weak convergence method and some delicate and careful apriori estimates.",

keywords = "Central limit theorem, Moderate deviations, Primitive equations",

author = "Rangrang Zhang and Guoli Zhou and Boling Guo",

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T1 - Stochastic 2D primitive equations

T2 - Central limit theorem and moderate deviation principle

AU - Zhang, Rangrang

AU - Zhou, Guoli

AU - Guo, Boling

PY - 2019/2/15

Y1 - 2019/2/15

N2 - In this paper, we establish a central limit theorem and a moderate deviation for two-dimensional stochastic primitive equations driven by multiplicative noise. This is the first result about the limit theorem and the moderate deviations for stochastic primitive equations. The proof of the results relies on the weak convergence method and some delicate and careful apriori estimates.

AB - In this paper, we establish a central limit theorem and a moderate deviation for two-dimensional stochastic primitive equations driven by multiplicative noise. This is the first result about the limit theorem and the moderate deviations for stochastic primitive equations. The proof of the results relies on the weak convergence method and some delicate and careful apriori estimates.

KW - Central limit theorem

KW - Moderate deviations

KW - Primitive equations

UR - https://www.scopus.com/pages/publications/85056209500

U2 - 10.1016/j.camwa.2018.10.025

DO - 10.1016/j.camwa.2018.10.025

M3 - Article

AN - SCOPUS:85056209500

SN - 0898-1221

VL - 77

SP - 928

EP - 946

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

Stochastic 2D primitive equations: Central limit theorem and moderate deviation principle

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