A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one

被引：2

作者：

Mohan, Manil T. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee IIT Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS | 2021年 / 9卷 / 02期

关键词：

Viscoelastic fluids; Oldroyd fluid; Central limit theorem; Large deviation principle; Moderate deviation principle; Skorokhod's representation theorem; MARTINGALE; EQUATIONS; MOTION;

D O I：

10.1007/s40072-020-00176-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we discuss some asymptotic behavior of the stochastic two-dimensional viscoelastic fluid flow equations, arising from the Oldroyd model of order one, for the non-Newtonian fluid flows. We prove a central limit theorem and establish the moderate deviation principle for such models using a weak convergence method.

引用

页码：510 / 558

页数：49

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