Asymptotic behavior of the one-dimensional compressible micropolar fluid model

Haibo Cui; Junpei Gao; Lei Yao; Haibo Cui; Junpei Gao; Lei Yao

doi:10.3934/era.2020105

Electronic Research Archive

2021, Volume 29, Issue 2: 2063-2075. doi: 10.3934/era.2020105

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Asymptotic behavior of the one-dimensional compressible micropolar fluid model

Haibo Cui ^{1
,
,},
Junpei Gao ^{2
,},
Lei Yao ^{3
,}

1.
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
2.
The Hubei Key Laboratory of Mathematical Physics, School of Mathematics, and Statistics, Central China Normal University, Wuhan 430079, China
3.
School of Mathematics and Center for Nonlinear Studies, Northwest University, Xi'an 710127, China

Received: 01 June 2020 Revised: 01 August 2020 Published: 23 September 2020
Primary: 35Q35, 76N10

In this paper, we study the large time behavior of the solution for one-dimensional compressible micropolar fluid model with large initial data. This model describes micro-rotational motions and spin inertia which is commonly used in the suspensions, animal blood, and liquid crystal. We get the uniform positive lower and upper bounds of the density and temperature independent of both space and time. In particular, we also obtain the asymptotic behavior of the micro-rotation velocity.
- Asymptotic behaviors,
- micropolar fluid model,
- uniform estimates
Citation: Haibo Cui, Junpei Gao, Lei Yao. Asymptotic behavior of the one-dimensional compressible micropolar fluid model[J]. Electronic Research Archive, 2021, 29(2): 2063-2075. doi: 10.3934/era.2020105

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Abstract

In this paper, we study the large time behavior of the solution for one-dimensional compressible micropolar fluid model with large initial data. This model describes micro-rotational motions and spin inertia which is commonly used in the suspensions, animal blood, and liquid crystal. We get the uniform positive lower and upper bounds of the density and temperature independent of both space and time. In particular, we also obtain the asymptotic behavior of the micro-rotation velocity.

References

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