Exponential stabilization of swelling porous systems with thermoelastic damping

被引:8
作者
Apalara, Tijani A. [1 ]
Yusuf, Moruf O. [2 ]
Mukiawa, Soh E. [1 ]
Almutairi, Ohud B. [1 ]
机构
[1] Univ Hafr Al Batin UHB, Dept Math, Hafar al Batin 31991, Saudi Arabia
[2] Univ Hafr Al Batin UHB, Dept Civil Engn, Hafar al Batin 31991, Saudi Arabia
关键词
Swelling porous; Thermoelasticity; Exponential stability; ELASTIC SOILS; STABILITY;
D O I
10.1016/j.jksus.2022.102460
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We study two systems of swelling porous thermoelasticity with minimum damping. Employing the standard multiplier method, we stabilize the systems exponentially without imposing restrictions on the wave velocities of the systems. This result is contrary to those obtained for closely related systems (like Timoshenko and porous systems) with similar single damping. In such scenarios, the authors established that a single damping term is insufficient to exponentially stabilize the system unless the assumption of the equality of wave velocities is imposed.& COPY; 2022 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页数:6
相关论文
共 34 条
[1]   A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings [J].
Al-Mahdi, Adel M. ;
Messaoudi, Salim A. ;
Al-Gharabli, Mohammad M. .
JOURNAL OF FUNCTION SPACES, 2022, 2022
[2]   On the stability result of swelling porous-elastic soils with infinite memory [J].
Al-Mahdi, Adel M. ;
Al-Gharabli, Mohammad M. ;
Apalara, Tijani A. .
APPLICABLE ANALYSIS, 2023, 102 (16) :4501-4517
[3]   Theoretical and Computational Results of a Memory-Type Swelling Porous-Elastic System [J].
Al-Mahdi, Adel M. ;
Al-Gharabli, Mohammad M. ;
Alahyane, Mohamed .
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2022, 27 (02)
[4]   Theoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past history [J].
Al-Mahdi, Adel M. ;
Al-Gharabli, Mohammad M. ;
Alahyane, Mohamed .
AIMS MATHEMATICS, 2021, 6 (11) :11921-11949
[5]   Stability to 1-D thermoelastic Timoshenko beam acting on shear force [J].
Almeida Junior, Dilberto da S. ;
Santos, M. L. ;
Munoz Rivera, J. E. .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (06) :1233-1249
[6]   A general stability result for swelling porous elastic media with nonlinear damping [J].
Apalara, T. ;
Soufyane, A. ;
Afilal, M. ;
Alahyane, M. .
APPLICABLE ANALYSIS, 2023, 102 (04) :1183-1198
[7]  
Apalara T.A., 2022, J MATH ANAL APPL
[8]   Thermoelastic Timoshenko system free of second spectrum [J].
Apalara, Tijani A. ;
Raposo, Carlos A. ;
Ige, Aminat .
APPLIED MATHEMATICS LETTERS, 2022, 126
[9]   On the control of viscoelastic damped swelling porous elastic soils with internal delay feedbacks [J].
Apalara, Tijani A. ;
Yusuf, Moruf O. ;
Salami, Babatunde A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 504 (02)
[10]   General stability result of swelling porous elastic soils with a viscoelastic damping [J].
Apalara, Tijani A. .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (06)