具有时变延迟项和强制项的季莫申科二次声系统的良好拟合性和指数稳定性

Q2 Mathematics Annali dell''Universita di Ferrara Pub Date : 2023-09-22 DOI:10.1007/s11565-023-00474-5

Oussama Khaldi, Abdelaziz Rahmoune, Djamel Ouchenane, Fares Yazid

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引用次数: 0

摘要

作为对 Ouchenane 的研究（Georgian Math J 21(4):475-489, 2014）的延续。我们考虑了一个具有时间延迟和强迫项的季莫申科型非线性热弹性系统。我们用半群理论证明了该系统的好求性，并用能量法证明了在波速的通常假设下的指数稳定性结果。

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Well-posedness and exponential stability of Timoshenko system of second sound with time-varying delay and forcing terms

As a continuity to the study by Ouchenane (Georgian Math J 21(4):475–489, 2014). We consider a nonlinear thermoelastic system of Timoshenko type with a time-varing delay and forcing term. We show the well-posedness of the system by using the semigroup theory, and we prove an exponential stability result under the usual assumption on the wave speed by the energy method.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.