含无界时滞的微极流方程组稳态解的稳定性

易卢燕; 刘国威

doi:10.21656/1000-0887.450300

含无界时滞的微极流方程组稳态解的稳定性

doi: 10.21656/1000-0887.450300

易卢燕¹,
刘国威^1,2, ,

1. 重庆师范大学数学科学学院，重庆 401331;
2. 上海交通大学数学科学学院，上海 200240

基金项目:

中国博士后科学基金(2022M722105)；重庆市自然科学基金(面上项目)(CSTB2024NSCQMSX1089)；

详细信息

作者简介:
易卢燕(1999—)，女，硕士生(E-mail: yiluyan112022@163.com);刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

通讯作者:
刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

中图分类号: O29
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- 文章访问数: 25
- HTML全文浏览量: 7
- PDF下载量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2024-11-04
- 修回日期: 2025-03-10
- 网络出版日期: 2025-04-30

Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay

YI Luyan¹,
LIU Guowei^{1,2
, ,}

1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P.R.China;
2. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P.R.China

摘要

摘要: 利用四种不同的技术结合稳定性理论研究了含无界时滞的微极流方程组稳态解的稳定性结果表明，当无界时滞函数关于时间连续可微时,非平凡稳态解具有局部稳定性和平凡稳态解具有渐近稳定性；当无界时滞函数关于时间仅连续时,非平凡稳态解具有全局稳定性；当无界时滞为比例时滞时,平凡稳态解具有多项式稳定性.
- 微极流 /
- 无界时滞 /
- 稳态解 /
- 稳定性 /
- 渐近稳定性 /
- 多项式稳定性
Abstract: The stability of stationary solutions to micropolar fluid equations with unbounded delay was studied through combination of 4 different techniques with the stability theory. The results show that, when the unbounded delay function is continuously differentiable with respect to time, the nontrivial stationary solution will be locally stable and the trivial stationary solution will be asymptotically stable; when the unbounded delay function is only continuous with respect to time, the nontrivial stationary solution will be globally stable; when the unbounded delay is a proportional delay, the trivial stationary solution will be polynomially stable.
- micropolar fluid /
- unbounded delay /
- stationary solution /
- stability /
- asymptotic stability /
- polynomial stability

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参考文献(19)

[2]DONG B Q, ZHANG Z. Global regularity of the 2D micropolar fluid flows with zero angular viscosity[J].Journal of Differential Equations,2010,249(1): 200-213.

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含无界时滞的微极流方程组稳态解的稳定性

doi: 10.21656/1000-0887.450300

作者简介:
易卢燕(1999—)，女，硕士生(E-mail: yiluyan112022@163.com);刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

通讯作者:
刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

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Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay

计量

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留言板

含无界时滞的微极流方程组稳态解的稳定性

doi: 10.21656/1000-0887.450300

作者简介: 易卢燕(1999—)，女，硕士生(E-mail: yiluyan112022@163.com);刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

通讯作者: 刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

计量

出版历程

Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay

计量

出版历程

目录

作者简介:
易卢燕(1999—)，女，硕士生(E-mail: yiluyan112022@163.com);刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).

通讯作者:
刘国威(1988—)，男，博士(通讯作者. E-mail: guoweiliu@cqnu.edu.cn).