Uniform measure attractors for nonautonomous stochastic tamed 3D Navier–Stokes equations with almost periodic forcing

IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-10-24 DOI:10.1016/j.aml.2024.109345
Jiangwei Zhang, Ke Liu, Jianhua Huang
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Abstract

This article provides a characterization of uniform measure attractors for non-autonomous stochastic tamed 3D Navier–Stokes equations, specifically with a almost-periodic external force term. The existing literature has primarily focused on measure attractors within an autonomous framework; however, when the forcing function is almost periodic, the solution process generated by the corresponding equations behaves as a non-autonomous Markov process, rendering the existing framework inapplicable. Therefore, it is crucial to investigate this within a new framework, which is the motivation behind the study of uniform measure attractors in this paper.
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具有几乎周期性强迫的非自主随机驯服三维纳维-斯托克斯方程的均匀量吸引子
本文描述了非自主随机驯服三维纳维-斯托克斯方程的均匀量吸引子,特别是具有近周期外力项的三维纳维-斯托克斯方程。现有文献主要关注自主框架内的度量吸引子;然而,当强制函数几乎是周期性的,相应方程产生的解过程表现为非自主马尔可夫过程,使得现有框架变得不适用。因此,在新的框架内研究这一点至关重要,这也是本文研究均匀量吸引子的动机所在。
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来源期刊
Applied Mathematics Letters
Applied Mathematics Letters 数学-应用数学
CiteScore
7.70
自引率
5.40%
发文量
347
审稿时长
10 days
期刊介绍: The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
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