Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay

被引：0

作者：

Su, Keqin ^{[1
]}

Yang, Xinguang ^{[2
]}

机构：

[1] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450046, Peoples R China

[2] Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 37卷 / 01期

关键词：

Navier-Stokes equations; pullback attractors; delay; upper semi -continuity; BRINKMAN-FORCHHEIMER EQUATION; UPPER SEMICONTINUITY; GLOBAL ATTRACTORS; STABILITY; BEHAVIOR; DYNAMICS; MODELS;

D O I：

10.4208/jpde.v37.n1.2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded domain. Under appropriate assumption on the delay term, we establish the existence of pullback attractors for the fluid flow model, which is dependent on the past state. Inspired by the idea in Zelati and Gal's paper (JMFM, 2015), the robustness of pullback attractors has been proved via upper semi -continuity in last section.

引用

页码：25 / 46

页数：22

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