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arXiv · 2403.12885

Improved decay results for micropolar flows with nonlinear damping

Cilon F. Perusato·Franco D. Vega
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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 $ 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.

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Cilon F. Perusato, Franco D. Vega. 2024-03-19. Improved decay results for micropolar flows with nonlinear damping. https://arxiv.org/abs/2403.12885

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