Regular Dynamics for 3D Brinkman–Forchheimer Equations with Delays

被引：0
|
作者：
Qiangheng Zhang
机构：
[1] Heze University,School of Mathematics and Statistics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2022年 / 45卷
关键词：
Delay Brinkman–Forchheimer equation; Pullback attractor; Regularity; Stability; Invariant measure; 35B40; 35B41; 37L30; 37L40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to study the regular dynamics for the 3D delay Brinkman–Forchheimer (BF) equations. We first prove the existence, uniqueness and time-dependent property of regular tempered pullback attractors as well as the existence of invariant measures for the 3D BF equations with non-autonomous abstract delay. We then study the asymptotic autonomy of regular pullback attractors for the 3D BF equations with autonomous abstract delay. Finally, we discuss the upper semicontinuity of regular pullback attractors as the delay time approaches to zero for the 3D BF equations with variable delay and distributed delay.
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页码：2959 / 2995
页数：36
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