伴有无穷时滞效应的不可压缩非Newton微极流方程组的确定模估计

袁艳杰; 王永威

doi:10.21656/1000-0887.460032

伴有无穷时滞效应的不可压缩非Newton微极流方程组的确定模估计

doi: 10.21656/1000-0887.460032

袁艳杰^1, ,,
王永威^2,

1.
河南科技职业大学公共基础教学部，河南周口 466000
2.
长沙理工大学数学与统计学院，长沙 410114

基金项目:

国家自然科学基金 12071484

详细信息

作者简介:
王永威(1990—)，男，讲师，博士(E-mail: yongweiwang2025@163.com)

通讯作者:
袁艳杰(1989—)，女，讲师，硕士(通信作者. E-mail: yjy19890224@163.com)

中图分类号: O175.29
计量
- 文章访问数: 130
- HTML全文浏览量: 32
- PDF下载量: 28
- 被引次数: 0
出版历程
- 收稿日期: 2025-02-25
- 修回日期: 2025-04-17
- 刊出日期: 2026-04-01

Estimate of Determining Modes for Incompressible Non-Newtonian Micropolar Fluid Equations With Infinite Delay

YUAN Yanjie^{1
, ,},
WANG Yongwei^2
,

1.
Department of Public Basic Education, Henan Vocational University of Science and Technology, Zhoukou, Henan 466000, P.R.China
2.
School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, P.R.China

摘要

摘要: 本文在二维有界区域上估计一类伴有无穷时滞效应的不可压缩非Newton微极流方程组的确定模个数.结果表明, 伴有无穷时滞效应的非Newton微极流方程组任意弱解的渐近行为可以完全由其前有限个Fourier模的渐近行为所决定.
- 不可压缩非Newton微极流 /
- 无穷时滞 /
- 确定模 /
- 渐近行为
Abstract: The number of determining modes was estimated for the incompressible non-Newtonian micropolar fluid with infinite delay in 2D bounded domains. The results show that, the asymptotic behavior of any weak solution to the non-Newtonian micropolar fluid equations with infinite delay depends completely on the asymptotic behavior of their 1st finite number of Fourier modes.
- incompressible non-Newtonian micropolar fluid /
- infinite delay /
- determining mode /
- asymptotic behavior

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参考文献(54)

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