Pullback dynamics for the 3-D incompressible Navier-Stokes equations with damping and delay

被引：0

作者：

Cui, Xiaona ^{[1
]}

Shi, Wei ^{[1
]}

Li, Xuezhi ^{[1
]}

Yang, Xin-Guang ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 08期

关键词：

Navier– Stokes equations; strong solution; pullback attractors; 2D-NAVIER-STOKES EQUATIONS; COCYCLE ATTRACTORS; BEHAVIOR;

D O I：

10.1002/mma.7239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the tempered pullback dynamics of the 3-D nonautonomous incompressible Navier-Stokes equations with nonlinear damping and delay in a bounded domain. Basing on some delicate priori estimates, the existence and uniqueness of weak and strong solutions have been proved. Then under some appropriate hypotheses on the external forces, we show the existence of the minimal family of pullback attractors with respect to fixed and generic universes.

引用

页码：7031 / 7047

页数：17

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