PULLBACK DYNAMICS OF A 3D MODIFIED NAVIER-STOKES EQUATIONS WITH DOUBLE DELAYS

被引：2

作者：

Zhang, Pan ^{[1
]}

Huang, Lan ^{[1
]}

Lu, Rui ^{[2
]}

Yang, Xin-Guang ^{[3
]}

机构：

[1] North China Univ Water Resources & Elect Power, Coll Math & Stat, Zhengzhou 450011, Peoples R China

[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[3] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2021年 / 29卷 / 06期

基金：

中国国家自然科学基金;

关键词：

3D modified Navier-Stokes equations; double delays; tempered pullback attractors; BRINKMAN-FORCHHEIMER EQUATION; ASYMPTOTIC-BEHAVIOR; ATTRACTORS; STABILITY; EXISTENCE; MODELS; DECAY;

D O I：

10.3934/era.2021076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the tempered pullback dynamics for a 3D modified Navier-Stokes equations with double time-delays, which includes delays on external force and convective terms respectively. Based on the property of monotone operator and some suitable hypotheses on the external forces, the existence and uniqueness of weak solutions can be shown in an appropriate functional Banach space. By using the energy equation technique and weak convergence method to achieve asymptotic compactness for the process, the existence of minimal family of pullback attractors has also been derived.

引用

页码：4137 / 4157

页数：21

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