Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay

YI Luyan; LIU Guowei

doi:10.21656/1000-0887.450300

Volume 46 Issue 4

Apr. 2025

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YI Luyan, LIU Guowei. Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay[J]. Applied Mathematics and Mechanics, 2025, 46(4): 551-562. doi: 10.21656/1000-0887.450300

Citation:

YI Luyan, LIU Guowei. Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay[J]. Applied Mathematics and Mechanics, 2025, 46(4): 551-562. doi: 10.21656/1000-0887.450300

Citation:

YI Luyan, LIU Guowei. Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay[J]. Applied Mathematics and Mechanics, 2025, 46(4): 551-562. doi: 10.21656/1000-0887.450300

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Stability of Stationary Solutions to Micropolar Fluid Equations With Unbounded Delay

doi: 10.21656/1000-0887.450300

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

Received Date: 2024-11-04
Rev Recd Date: 2025-03-10

Available Online: 2025-04-30

Abstract

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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References(19)

References

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