具有无限历史、微温度效应和变延迟的多孔热弹性系统的渐近稳定性

Pub Date : 2023-09-01 DOI:10.32523/2306-6172-2023-11-3-22-47

Fatima Djeradi, Fares Yazid, Nadhir Chougui

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引用次数: 0

摘要

本文研究了一维多孔热弹性系统，该系统具有微温度效应，过去历史项仅作用于多孔方程，内部反馈具有时变延迟项。首先利用半群方法给出了系统的适定性。然后，在适当的参数条件下，我们建立了问题解的整体存在性和能量衰减结果。

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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ASYMPTOTIC STABILITY OF POROUS THERMOELASTIC SYSTEM WITH INFINITE HISTORY, MICROTEMPERATURES EFFECTS AND VARYING DELAY

This work is concerned with a one-dimensional porous thermoelastic system with microtemperatures effects, past history term acting only on the porous equation, and a time- varying delay term in the internal feedbacks. We first give the well-posedness of the system by using the semigroup method. Then, we establish the global existence as well as energy decay results of solutions, under appropriate conditions on the parameters of the problem.

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