EXISTENCE OF PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR 3D NAVIER-STOKES-VOIGT EQUATIONS WITH DELAY

被引：2

作者：

Qin, Yuming ^{[1
,2
]}

Jiang, Huite ^{[1
]}

机构：

[1] Donghua Univ, Sch Math & Stat, Shanghai 201620, Peoples R China

[2] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2025年 / 30卷 / 01期

基金：

中国国家自然科学基金;

关键词：

NONAUTONOMOUS 2D-NAVIER-STOKES EQUATIONS; DISSIPATIVE DYNAMICAL-SYSTEMS; STATISTICAL SOLUTIONS; GLOBAL ATTRACTORS; REGULARITY; STABILITY; BEHAVIOR; MODEL;

D O I：

10.3934/dcdsb.2024087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this paper, we study the long-time dynamics of 3D non-autonomous Navier-Stokes-Voigt(NSV) equations with delay. We first use the contractive function method to prove the pullback D-asymptotical compactness. Furthermore, we verify the existence and regularity of pullback attractors and there exists a unique family of Borel invariant probability measures which is supported by the pullback attractors.

引用

页码：243 / 264

页数：22

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