Well-posedness and stability results for a swelling porous-heat system of second sound

被引：8
|
作者：
Keddi, Ahmed [1 ]
Messaoudi, Salim A. [2 ]
Alahyane, Mohamed [3 ]
机构：
[1] Ahmed Draia Univ, Dept Math & Comp Sci, Lab Math Modelisat & Applicat LAMMA, Adrar, Algeria
[2] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
[3] Univ Sharjah, Dept Math, RISE, Sharjah, U Arab Emirates
来源：
JOURNAL OF THERMAL STRESSES | 2021年 / 44卷 / 12期
关键词：
Exponential decay; heat; second sound; swelling porous; ELASTIC SOILS; EXPONENTIAL STABILITY; CONTINUUM THEORY; TIME DECAY; SOLIDS;
D O I：
10.1080/01495739.2021.2003274
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this work, we consider a swelling porous-elastic system coupled with a heat system of second sound. We establish the existence of solutions then we prove an exponential decay result. Unlike the "purely" porous system, this result is obtained without the equal-speed requirement. We also perform some numerical tests to illustrate our theoretical findings.
引用
收藏
页码：1427 / 1440
页数：14
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