Asymptotic stability of one-dimensional compressible viscous and heat-conducting $p$-th micropolar fluid

This paper is concerned with the asymptotic behavior of one-dimensional compressible viscous and heat-conducting $p$-th micropolar fluid with large initial data in $H^1$. Based on the local well-posedness constructed by Bašić-Šiško and Dražić, by virtue of some delicate uniform energy estimates independent of time, the exponential decay rate of solutions toward to the constant state as time tends to infinity for the initial boundary value problem in bounded domain is obtained.

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Publication Details

Journal
Differential and Integral Equations
Published
2025-02-18
DOI
https://doi.org/10.57262/die038-0506-297
Citations
1
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
3.73
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article

Asymptotic stability of one-dimensional compressible viscous and heat-conducting $p$-th micropolar fluid

Chongchong Li, Xin‐Guang Yang, Lan Huang, Xingjie Yan
1 citations
Differential and Integral Equations
Navier-Stokes equation solutions
3.73
article

Asymptotic stability of one-dimensional compressible viscous and heat-conducting $p$-th micropolar fluid

Chongchong Li, Xin‐Guang Yang, Lan Huang, Xingjie Yan
article en
1 citations

Abstract

This paper is concerned with the asymptotic behavior of one-dimensional compressible viscous and heat-conducting $p$-th micropolar fluid with large initial data in $H^1$. Based on the local well-posedness constructed by Bašić-Šiško and Dražić, by virtue of some delicate uniform energy estimates independent of time, the exponential decay rate of solutions toward to the constant state as time tends to infinity for the initial boundary value problem in bounded domain is obtained.

Differential and Integral EquationsVol. 38(5/6)
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Navier-Stokes equation solutions
3.73
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