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A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one
Stochastics and Partial Differential Equations: Analysis and Computations ( IF 1.4 ) Pub Date : 2020-07-16 , DOI: 10.1007/s40072-020-00176-5 Manil T. Mohan
中文翻译:
一阶随机二维Oldroyd模型的中心极限定理和中等偏差原理
更新日期:2020-07-24
Stochastics and Partial Differential Equations: Analysis and Computations ( IF 1.4 ) Pub Date : 2020-07-16 , DOI: 10.1007/s40072-020-00176-5 Manil T. Mohan
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.
中文翻译:
一阶随机二维Oldroyd模型的中心极限定理和中等偏差原理
在这项工作中,我们讨论了非牛顿流体流动的一维Oldroyd模型引起的随机二维粘弹性流体流动方程的一些渐近行为。我们证明了一个中心极限定理,并使用弱收敛方法为此类模型建立了中度偏差原理。