Asymptotic stability of porous-elasticity with microtemparature of second-sound type

IF 0.9 Q2 MATHEMATICS Afrika Matematika Pub Date : 2024-07-26 DOI:10.1007/s13370-024-01208-2
Tijani A. Apalara, Salim A. Messaoud, Mostafa Zahri
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引用次数: 0

Abstract

In this work, we establish exponential and polynomial decay results for a one-dimensional porous-elastic system with microtemperatures depending on the system’s parameters. Our results are new and improve some previous literature results where additional damping terms were required to establish the exponential decay result. We also present some numerical tests to illustrate our theoretical results.

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具有第二音型微温的多孔弹性的渐近稳定性
在这项工作中,我们建立了一维多孔弹性系统的指数和多项式衰减结果,该系统的微温度取决于系统的参数。我们的结果是全新的,改进了之前文献中的一些结果,之前的结果需要额外的阻尼项才能建立指数衰减结果。我们还提出了一些数值测试来说明我们的理论结果。
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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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