具有能量阻尼的非线性板模型的适位性和稳定性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-12-24 DOI:10.1016/j.nonrwa.2024.104291

Eduardo H. Gomes Tavares , Linfang Liu , Vando Narciso , JinYun Yuan

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引用次数: 0

摘要

考虑具有非线性阻尼的平板模型。该模型提出了一种能量阻尼和非线性单调阻尼相结合的新型阻尼机制。本文的工作重点是给出该模型解的适定性和稳定性。特别是，解将以多项式速率衰减，这在某种意义上统一了以前模型中得到的衰减速率。

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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Well-posedness and stability of a nonlinear plate model with energy damping

A plate model with nonlinear damping is considered. This model presents a new damping mechanism which is inspired by a combination between an energy damping mechanism and a nonlinear monotonic damping mechanism. The focus of this work is to present the well-posedness and stability of solutions for this model. In particular, the solutions will decay at a polynomial rate, which unifies, in some sense, the decay rates obtained in previous models.

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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.