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

页码：1427 / 1440

页数：14

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