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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| Published in | Nonlinear analysis: real world applications Vol. 84; no. 104275; p. 104275 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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01.08.2025
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| Abstract | 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. |
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| AbstractList | 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. 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 t 1/2 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. |
| ArticleNumber | 104275 |
| Author | Vega, Franco D. Perusato, Cilon F. |
| Author_xml | – sequence: 1 givenname: Cilon F. orcidid: 0000-0001-6275-4658 surname: Perusato fullname: Perusato, Cilon F. email: perusato@math.univ-lyon1.fr organization: Institut Camille Jordan, Université Lyon 1, 69622, Villeurbanne, France – sequence: 2 givenname: Franco D. surname: Vega fullname: Vega, Franco D. email: franco.diaz@ufpe.br organization: Departamento de Matemática, Universidade Federal de Pernambuco, CEP 50740-560, Recife PE., Brazil |
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| Issue | 104275 |
| Keywords | Damping term Asymptotic stability Micropolar equations Asymptotic behavior asymptotic stability damping term asymptotic behavior |
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| SubjectTerms | Analysis of PDEs Asymptotic behavior Asymptotic stability Damping term Mathematics Micropolar equations |
| Title | Improved decay results for micropolar flows with nonlinear damping |
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