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
[21]   Determination of Thermal Conductivity Properties of Coastal Soils for GSHPs and Energy Geostructure Applications in Mexico [J].
Patricia Lopez-Acosta, Norma ;
Igor Zaragoza-Cardiel, Alan ;
Francisco Barba-Galdamez, David .
ENERGIES, 2021, 14 (17)
[22]   Exponential stability of solutions of swelling porous elastic soils [J].
Quintanilla, R .
MECCANICA, 2004, 39 (02) :139-145
[23]   Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation [J].
Quintanilla, R .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (02) :525-533
[24]   On the linear problem of swelling porous elastic soils with incompressible fluid [J].
Quintanilla, R .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2002, 40 (13) :1485-1494
[25]   Equivalence between exponential stabilization and boundary observability for swelling problem [J].
Ramos, A. J. A. ;
Apalara, T. A. ;
Freitas, M. M. ;
Araujo, M. L. .
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (01)
[26]   Stabilization of swelling porous elastic soils with fluid saturation and delay time terms [J].
Ramos, A. J. A. ;
Junior, D. S. Almeida ;
Freitas, M. M. ;
Noe, A. S. ;
Dos Santos, M. J. .
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (02)
[27]   Stability results for elastic porous media swelling with nonlinear damping [J].
Ramos, A. J. A. ;
Freitas, M. M. ;
Almeida, D. S. ;
Noe, A. S. ;
Dos Santos, M. J. .
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (10)
[28]   Mildly dissipative nonlinear Timoshenko systems - global existence and exponential stability [J].
Rivera, JEM ;
Racke, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (01) :248-278
[29]   On porous-elastic systems with Fourier law [J].
Santos, M. L. ;
Campelo, A. D. S. ;
Oliveira, M. L. S. .
APPLICABLE ANALYSIS, 2019, 98 (06) :1181-1197
[30]  
Sundberg J., 1988, Thermal properties of soils and rocks