具有结构阻尼和二次声的层合梁缺乏指数衰减

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2020-01-01 DOI:10.4064/ap181224-17-9

Wenjun Liu, Xiangyu Kong, Gang Li

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引用次数: 13

摘要

在[Z。Angew。数学。Apalara考虑了Cattaneo热传导定律下的一维热弹性层合梁，并证明了依赖于稳定性数χτ的指数和多项式衰减结果。在这篇简短的文章中，我们继续对同一系统的研究，并证明当χτ 6= 0时解没有指数衰减，从而解决了Apalara提出的一个开放问题。

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Lack of exponential decay for a laminated beam with structural damping and second sound

In [Z. Angew. Math. Phys. 68 (2017)] Apalara considered a one-dimensional thermoelastic laminated beam under Cattaneo’s law of heat conduction and proved the exponential and polynomial decay results depending on the stability number χτ . In this short note, we continue the study of the same system and show that the solution lacks exponential decay if χτ 6= 0, which solves an open problem proposed by Apalara.

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.