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

被引：3
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.
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页码：510 / 558
页数：49
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