Remarks on nontrivial pullback attractors of the 2-D Navier-Stokes equations with delays

被引：2

作者：

Wang, Yongzhong ^{[1
]}

Yang, Xin-Guang ^{[2
]}

Lu, Yongjin ^{[3
]}

机构：

[1] Xinxiang Univ, Dept Math & Informat Sci, Xinxiang 453000, Henan, Peoples R China

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

[3] Virginia State Univ, Dept Math & Econ, Petersburg, VA 23806 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 04期

基金：

美国国家科学基金会;

关键词：

2-D Navier-Stokes equation with delay; nontrivial pullback attractors; the generalized Grashof number; ASYMPTOTIC-BEHAVIOR; REGULARITY; DYNAMICS; MODELS;

D O I：

10.1002/mma.6012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with some further research on the pullback dynamics for 2-D Navier-Stokes equations with delays. By some new definition of generalized Grashof numbers, we presented some sufficient conditions when the pullback attractors of the 2-D nonautonomous incompressible Navier-Stokes equations with differential continuous delays become a single trajectory, which is a preparation for the fractal dimension of pullback attractors for our problem with constant or variable delays.

引用

页码：1892 / 1900

页数：9

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