磁微极流方程组紧的拉回吸收集的存在性

田从洋; 孙文龙

doi:10.21656/1000-0887.450334

磁微极流方程组紧的拉回吸收集的存在性

doi: 10.21656/1000-0887.450334

田从洋,
孙文龙^,

长江大学信息与数学学院，湖北荆州 434023

基金项目:

国家自然科学基金 12301294

湖北省自然科学基金 2022CFB661

湖北省教育厅科学研究计划青年人才基金项目 Q20231309

详细信息

作者简介:
田从洋(1999—)，男，硕士(E-mail: yangtze24@126.com)

通讯作者:
孙文龙(1988—)，男，副教授，博士(通讯作者. E-mail: wenlongsun1988@163.com)

中图分类号: O175.29
计量
- 文章访问数: 68
- HTML全文浏览量: 18
- PDF下载量: 9
- 被引次数: 0
出版历程
- 收稿日期: 2024-12-18
- 修回日期: 2025-01-21
- 刊出日期: 2025-11-01

Existence of the Compact Pullback Absorbing Family for Magneto-Micropolar Fluid Equations

TIAN Congyang,
SUN Wenlong^,

School of Information and Mathematics, Yangtze University, Jingzhou, Hubei 434023, P.R.China

摘要

摘要: 在二维有界区域上研究了磁微极流方程组的拉回动力学行为. 运用半群方法和ε-正则性方法, 结合Sobolev空间嵌入理论, 在不同条件下, 分别证明了空间$\hat{H}$和空间$\hat{V}$中紧的拉回吸收集的存在性.
- 磁微极流方程组 /
- 紧的拉回吸收集 /
- 半群方法 /
- ε-正则性方法
Abstract: The pullback dynamics of magneto-micropolar fluid equations was studied in 2D bounded domains. Exactly, the existence of the compact pullback absorbing family in space $\hat{H}$ and space $\hat{V}$ was proved with the semigroup method and the ε-regularity method combined with the Sobolev space embedding theory under different conditions, respectively.
- magneto-micropolar fluid /
- compact pullback absorbing family /
- semigroup method /
- ε-regularity method

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参考文献(22)

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