Improved decay results for micropolar flows with nonlinear damping

We examine the long-time behavior of solutions (and their derivatives) to the micropolar equations with nonlinear velocity damping. Additionally, we get a speed-up gain of t1/2 for the angular velocity, consistent with established findings for classic micropolar flows lacking nonlinear damping. Cons...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 84; no. 104275; p. 104275
Main Authors Perusato, Cilon F., Vega, Franco D.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2025
Elsevier
Subjects
Analysis of PDEs
Asymptotic behavior
Asymptotic stability
Damping term
Mathematics
Micropolar equations
Damping term
Asymptotic stability
Micropolar equations
Asymptotic behavior
asymptotic stability
damping term
asymptotic behavior
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Summary:We examine the long-time behavior of solutions (and their derivatives) to the micropolar equations with nonlinear velocity damping. Additionally, we get a speed-up gain of t1/2 for the angular velocity, consistent with established findings for classic micropolar flows lacking nonlinear damping. Consequently, we also obtain a sharper result regarding the asymptotic stability of the micro-rotational velocity w(⋅,t). Related results of independent interest are also included.
ISSN:1468-1218
DOI:10.1016/j.nonrwa.2024.104275