含输运噪声的三维全局修正随机Navier-Stokes方程的尺度极限和大偏差

IF 1.2 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2025-09-12 DOI:10.1016/j.spa.2025.104770

Chang Liu , Dejun Luo

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引用次数: 0

摘要

考虑三维环面上具有输运噪声的全局修正随机（高粘性）Navier-Stokes方程。首先建立了确定三维全局修正（高粘性）Navier-Stokes方程弱解的存在性和路径唯一性，然后在适当的尺度极限下证明了它们的收敛性。进一步证明了随机全局修正高粘性系统的大偏差原理。

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Scaling limit and large deviation for 3D globally modified stochastic Navier–Stokes equations with transport noise

We consider the globally modified stochastic (hyperviscous) Navier–Stokes equations with transport noise on 3D torus. We first establish the existence and pathwise uniqueness of the weak solutions, and then show their convergence to the solutions of the deterministic 3D globally modified (hyperviscous) Navier–Stokes equations in an appropriate scaling limit. Furthermore, we prove a large deviation principle for the stochastic globally modified hyperviscous system.

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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.