Cilon F. Perusato, Franco D. Vega
Published 2024-03-19Version 1
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.
Decay of the solution to the bipolar Euler-Poisson system with damping in $\mathbb{R}^3$
Global existence of strong solutions to micropolar equations in cylindrical domains
Existence, uniqueness, and decay results for singular $Φ$-Laplacian systems in $\mathbb{R}^N$
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