非牛顿微极流方程组拉回吸引子的存在性

数学物理学报 ›› 2026, Vol. 46 ›› Issue (6): 2251-2263.

非牛顿微极流方程组拉回吸引子的存在性

吴天方¹(), 陈凯乐², 孙文龙³^,^*()

¹ 温州商学院浙江温州 325000
² 长江大学信息与数学学院湖北荆州 434023
³ 湖北民族大学数学与统计学院湖北恩施 445000

收稿日期:2025-06-16 修回日期:2025-08-31 出版日期:2026-12-26 发布日期:2026-08-14
通讯作者: 孙文龙 E-mail:20249237@wzbc.edu.cn;wenlongsun1988@163.com
作者简介:吴天方, E-mail: 20249237@wzbc.edu.cn
基金资助:
湖北省自然科学基金(2022CFB661);湖北省教育厅青年人才项目(Q20231309)

Existence of Pullback Attractors for a Class of Incompressible Non-Newtonian Micropolar Fluids

Tianfang Wu¹(), Kaile Chen², Wenlong Sun³^,^*()

¹ Wenzhou Business College, Zhejiang Wenzhou 325000
² School of Information and Mathematics, Yangtze University, Hubei Jingzhou 434023
³ School of Mathematics and Statistics, Hubei Minzu University, Hubei Enshi 445000

Received:2025-06-16 Revised:2025-08-31 Online:2026-12-26 Published:2026-08-14
Contact: Wenlong Sun E-mail:20249237@wzbc.edu.cn;wenlongsun1988@163.com
Supported by:
Natural Science Foundation of Hubei Province(2022CFB661);Youth Talent Project of the Education Department of Hubei Province(Q20231309)

摘要/Abstract

摘要：

在二维有界区域上研究了一类非牛顿微极流方程组的拉回动力学行为. 具体地, 通过建立解的先验估计, 然后验证由解算子生成的过程具有拉回压平性质, 得到拉回吸引子的存在性.

关键词: 非牛顿微极流方程组, 拉回吸引子, 拉回压平性质

Abstract:

In this paper, we investigate the pullback dynamical behavior of a class of incompressible non-Newtonian micropolar fluids in 2D bounded domains. Specifically, by establishing a-prior estimates of the solutions and then verifying that the process generated by the solution operator has the pullback flattening property, we obtain the existence of the pullback attractor.

Key words: non-Newtonian micropolar fluids, pullback attractor, pullback flattening property

中图分类号:

O175.29

吴天方, 陈凯乐, 孙文龙. 非牛顿微极流方程组拉回吸引子的存在性[J]. 数学物理学报, 2026, 46(6): 2251-2263.

Tianfang Wu, Kaile Chen, Wenlong Sun. Existence of Pullback Attractors for a Class of Incompressible Non-Newtonian Micropolar Fluids[J]. Acta mathematica scientia,Series A, 2026, 46(6): 2251-2263.

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