General energy decay estimate for a viscoelastic damped swelling porous elastic soils with time delay

被引:4
作者
Yuksekkaya, Hazal [1 ]
Piskin, Erhan [1 ]
Kafini, Mohammad M. M. [2 ,3 ]
Al-Mahdi, Adel M. M. [3 ,4 ]
机构
[1] Dicle Univ, Dept Math, Diyarbakir, Turkiye
[2] King Fahd Univ Petr & Minerals, Dept Math, Dhahran 31261, Saudi Arabia
[3] King Fahd Univ Petr & Minerals, Preparatory Year Program, Dhahran 31261, Saudi Arabia
[4] King Fahd Univ Petr & Minerals, Interdisciplinary Res Ctr Construct & Bldg Mat, Dhahran 31261, Saudi Arabia
关键词
delay; general decay; multiplier method; swelling porous problem; viscoelastic; EXPONENTIAL STABILITY; EQUATIONS; BOUNDARY; TERM;
D O I
10.1002/mma.9222
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the viscoelastic damped swelling porous elastic soils with time delay. Under more general assumption on the relaxation function and some specific conditions on the weight of the delay, we establish general decay results by using multiplier method and some properties of convex functions. These results generalize and improve some earlier related results in the literature.
引用
收藏
页码:12914 / 12929
页数:16
相关论文
共 31 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]   Exponential stabilization of swelling porous systems with thermoelastic damping [J].
Apalara, Tijani A. ;
Yusuf, Moruf O. ;
Mukiawa, Soh E. ;
Almutairi, Ohud B. .
JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2023, 35 (01)
[5]   Energy decay for a weakly nonlinear damped porous system with a nonlinear delay [J].
Apalara, Tijani A. ;
Soufyane, Abdelaziz .
APPLICABLE ANALYSIS, 2022, 101 (17) :6113-6135
[6]   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)
[7]   General decay of solutions in one-dimensional porous-elastic system with memory [J].
Apalara, Tijani A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) :457-471
[8]   Well-Posedness and Exponential Stability of Swelling Porous with Gurtin-Pipkin Thermoelasticity [J].
Apalara, Tijani Abdul-Aziz ;
Almutairi, Ohud Bulayhan .
MATHEMATICS, 2022, 10 (23)
[9]  
Arnold V. I., 2013, Mathematical methods of classical mechanics
[10]   THEORIES OF IMMISCIBLE AND STRUCTURED MIXTURES [J].
BEDFORD, A ;
DRUMHELLER, DS .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1983, 21 (08) :863-960