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

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-09-01 DOI:10.32523/2306-6172-2023-11-3-22-47

Fatima Djeradi, Fares Yazid, Nadhir Chougui

引用次数: 0

Abstract

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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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

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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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.