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

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-07-25 DOI:10.1007/s12346-024-01105-w

Ran Li, Shaoyue Mi, Dingshi Li

引用次数: 0

Abstract

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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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

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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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.