Article Dans Une Revue Nonlinear Analysis: Real World Applications Année : 2025

Improved decay results for micropolar flows with nonlinear damping

Résumé

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.

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Dates et versions

hal-04952739 , version 1 (17-02-2025)

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Cilon F Perusato, Franco D Vega. Improved decay results for micropolar flows with nonlinear damping. Nonlinear Analysis: Real World Applications, 2025, 84 (104275), ⟨10.1016/j.nonrwa.2024.104275⟩. ⟨hal-04952739⟩
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