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
相关论文
共 50 条
  • [41] Well-posedness and exponential stability of a thermoelastic system with internal delay
    Khatir, Smain Moulay
    Shel, Farhat
    APPLICABLE ANALYSIS, 2022, 101 (14) : 4851 - 4865
  • [42] Well-posedness and Stability of the Repairable System with Three Units and Vacation
    Xiaoshuang HAN
    Mingyan TENG
    Ming FANG
    Journal of Systems Science and Information, 2014, 2 (01) : 54 - 76
  • [43] Well-posedness results for models of elastomers
    Ackleh, AS
    Banks, HT
    Pinter, GA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (02) : 440 - 456
  • [44] Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
    Kafini, Muhammad
    Messaoudi, Salim A.
    Mustafa, Muhammad I.
    Apalara, Tijani
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (04): : 1499 - 1517
  • [45] On the stability of swelling porous thermoelastic soils mixture with second sound
    Foughali, Fouzia
    Bouzettouta, Lamine
    Khochemane, Houssem Eddine
    Zitouni, Salah
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02):
  • [46] Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
    Muhammad Kafini
    Salim A. Messaoudi
    Muhammad I. Mustafa
    Tijani Apalara
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 1499 - 1517
  • [47] On the well-posedness of the incompressible flow in porous media
    Xu, Fuyi
    Liu, Lishan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 6371 - 6381
  • [48] Global well-posedness for second grade fluids
    Clark, H. R.
    Friz, L.
    Rojas-Medar, M.
    ANALYSIS AND APPLICATIONS, 2025, 23 (02) : 169 - 192
  • [49] Well-posedness of stochastic second grade fluids
    Chemetov, Nikolai
    Cipriano, Fernanda
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (02) : 585 - 616
  • [50] A note on well-posedness of second order systems
    Miller, RE
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 2237 - 2242
12345