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

YUAN Yanjie; WANG Yongwei

doi:10.21656/1000-0887.460032

Volume 47 Issue 4

Apr. 2026

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YUAN Yanjie, WANG Yongwei. Estimate of Determining Modes for Incompressible Non-Newtonian Micropolar Fluid Equations With Infinite Delay[J]. Applied Mathematics and Mechanics, 2026, 47(4): 516-528. doi: 10.21656/1000-0887.460032

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

doi: 10.21656/1000-0887.460032

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

Received Date: 2025-02-25
Rev Recd Date: 2025-04-17
Publish Date: 2026-04-01

Abstract

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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References

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