非自主随机三维全局修正纳维-斯托克斯方程的回拉测量吸引子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-25 DOI:10.1007/s12346-024-01105-w

Ran Li, Shaoyue Mi, Dingshi Li

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引用次数: 0

摘要

本文研究了非线性噪声驱动的非自治随机三维全局修正纳维-斯托克斯方程的回拉量吸引子的存在性和上半连续性。首先，我们介绍了回拉测度吸引子的抽象理论和此类方程的渐近紧凑性。然后，证明了此类方程存在回拉量度吸引子。此外，当噪声强度趋近于零时，还得到了这些吸引子的上半连续性。

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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Pullback Measure Attractors for Non-autonomous Stochastic 3D Globally Modified Navier–Stokes Equations

This paper investigates the existence and upper semi-continuity of the pullback measure attractors of the non-autonomous stochastic 3D globally modified Navier–Stokes equations driven by nonlinear noise. Firstly, we introduce the abstract theory of pullback measure attractors and asymptotic compactness of such equations. Then, the existence of the pullback measure attractors is shown for such equations. Furthermore, the upper semi-continuity of these attractors is also obtained as the noise intensity tends to zero.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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