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

共 29 条

[1] General stability result of swelling porous elastic soils with a viscoelastic damping
Apalara, Tijani A.
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (06):
[2] General decay of solutions in one-dimensional porous-elastic system with memory
Apalara, Tijani A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) : 457 - 471
[3] THEORIES OF IMMISCIBLE AND STRUCTURED MIXTURES
BEDFORD, A
DRUMHELLER, DS
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1983, 21 (08) : 863 - 960
[4] Bowles J.E., 1982, FDN ANAL DESIGN, V3rd
[5] Exponential decay in one-dimensional porous-thereto-elasticity
Casas, PS
Quintanilla, R
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2005, 32 (06) : 652 - 658
[6] Exponential stability in thermoelasticity with microtemperatures
Casas, PS
Quintanilla, R
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (1-2) : 33 - 47
[7] A CONTINUUM THEORY OF SWELLING POROUS ELASTIC SOILS
ERINGEN, AC
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1994, 32 (08) : 1337 - 1349
[8] Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds
Feng, Baowei
Yin, Mingyang
[J]. MATHEMATICS AND MECHANICS OF SOLIDS, 2019, 24 (08) : 2361 - 2373
[9] GOODMAN MA, 1972, ARCH RATION MECH AN, V44, P249
[10] EXPONENTIAL DECAY IN NON-UNIFORM POROUS-THERMO-ELASTICITY MODEL OF LORD-SHULMAN TYPE
Han, Zhong-Jie
Xu, Gen-Qi
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (01): : 57 - 77

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