Improved decay results for micropolar flows with nonlinear damping

• Published in: Nonlinear analysis: real world applications Vol. 84; no. 104275; p. 104275
• Main Authors: Perusato, Cilon F., Vega, Franco D.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2025; Elsevier
• Subjects: Analysis of PDEs; Asymptotic behavior; Asymptotic stability; Damping term; Mathematics; Micropolar equations; Damping term; Asymptotic stability; Micropolar equations; Asymptotic behavior; asymptotic stability; damping term; asymptotic behavior

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...