Improved decay results for micropolar flows with nonlinear damping
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913272380260352 |
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| author | Perusato, Cilon F. Vega, Franco D. |
| author_facet | Perusato, Cilon F. Vega, Franco D. |
| contents | 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 $\ww(\cdot,t)$. Related results of independent interest are also included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12885 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved decay results for micropolar flows with nonlinear damping Perusato, Cilon F. Vega, Franco D. Analysis of PDEs 35B40, 35Q35 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 $\ww(\cdot,t)$. Related results of independent interest are also included. |
| title | Improved decay results for micropolar flows with nonlinear damping |
| topic | Analysis of PDEs 35B40, 35Q35 |
| url | https://arxiv.org/abs/2403.12885 |