一类能量阻尼板模型的多项式压缩稳定性

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2023-11-07 DOI:10.1007/s10440-023-00619-w

Flank D. M. Bezerra, Linfang Liu, Vando Narciso

引用次数: 0

摘要

在这项工作中，我们考虑在能量阻尼模型的背景下具有非恒定材料密度的半线性板方程。建立了正则解和广义解的存在唯一性。与此方程相关的能量显示具有压缩的多项式衰减范围。

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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Stability by Polynomial Squeezing for a Class of Energy Damping Plate Models

In this work we consider a semilinear plate equation with non-constant material density in the context of energy damping models. Existence and uniqueness of regular and generalized solutions are established. The energy associated to this equation is shown to posses a compressed polynomial decay range.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.