文献类型：期刊文献

英文题名：Remarks on nontrivial pullback attractors of the 2-D Navier-Stokes equations with delays

作者：Wang, Yongzhong[1];Yang, Xin-Guang[2];Lu, Yongjin[3]

第一作者：王永忠

通讯作者：Yang, XG[1]

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

第一机构：新乡学院数学与信息科学学院

通讯机构：[1]corresponding author), Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China.

年份：2020

卷号：43

期号：4

起止页码：1892-1900

外文期刊名：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录：;EI(收录号：20194707703834);Scopus(收录号：2-s2.0-85074991739);WOS:【SCI-EXPANDED(收录号:WOS:000496123000001)】；

基金：Xin-Guang Yang was partially supported by the Key Project of Science and Technology of Henan Province (grant no. 182102410069) and the Project of Young Backbone Teacher in Henan Province (no. 2018GGJS039). Yongjin Lu was partially supported by the National Science Foundation (grant no. 1601127).

语种：英文

外文关键词：2-D Navier-Stokes equation with delay; nontrivial pullback attractors; the generalized Grashof number

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.