具有各向异性粘性的二维随机Navier-Stokes方程的大偏差原理

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-06-17 DOI:10.1007/s10255-023-1071-6

Bing-guang Chen, Xiang-chan Zhu

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引用次数: 1

摘要

本文建立了粘性各向异性的二维随机Navier-Stokes方程在小噪声和短时间内的大偏差原理。大偏差原理的证明是基于弱收敛方法。对于小时间渐近性，我们使用指数等价来证明结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large Deviation Principle for the Two-dimensional Stochastic Navier-Stokes Equations with Anisotropic Viscosity

In this paper we establish the large deviation principle for the the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity both for small noise and for short time. The proof for large deviation principle is based on the weak convergence approach. For small time asymptotics we use the exponential equivalence to prove the result.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.