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.
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页码：1892 / 1900
页数：9
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