具有非线性阻尼的微极流的改进衰减结果

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-12-10 DOI:10.1016/j.nonrwa.2024.104275

Cilon F. Perusato , Franco D. Vega

引用次数: 0

摘要

我们研究了具有非线性速度阻尼的微极方程的解（及其导数）的长期行为。此外，我们得到角速度的加速增益为t1/2，与缺乏非线性阻尼的经典微极流的既定结果一致。由此，我们也得到了关于微旋转速度w（⋅,t）的渐近稳定性的更清晰的结果。独立感兴趣的相关结果也包括在内。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Improved decay results for micropolar flows with nonlinear damping

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 (\cdot, t)

. Related results of independent interest are also included.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.