Well-posedness, theoretical and numerical stability results of a memory-type porous thermoelastic system

被引：0
|
作者：
Adel M. Al-Mahdi
Mohammad Kafini
Jamilu Hashim Hassan
Mohamed Alahyane
机构：
[1] King Fahd University of Petroleum and Minerals,The Preparatory Year Program
[2] King Fahd University of Petroleum and Minerals,The Interdisciplinary Research Center in Construction and Building Materials
[3] King Fahd University of Petroleum and Minerals,Department of Mathematics
[4] Bayero University Kano,Arts et Metiers Institute of Technology, Centrale Lille, Junia, ULR2697
[5] University of Lille, L2EP
来源：
Zeitschrift für angewandte Mathematik und Physik | 2022年 / 73卷
关键词：
Thermoelastic; Porous system; Existence; General decay; Convex functions; Finite difference; Crank–Nicolson; Euler method; 35B35; 35B40; 35L05; 93D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider a one-dimensional thermoelastic porous system with memory effect. We establish the existence and uniqueness result using the Faedo Galerkin approximations method. Then, we prove a general decay result under a very general assumption on the relaxation function and for suitable initial data with enough regularities. In order to validate our theoretical results, we discretize our system using hybrid numerical scheme and we present several numerical experiments and tests.
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