Swelling porous elastic soils with fluid saturation and delay term in the internal feedback

被引：0

作者：

Nonato, Carlos A. S. ^{[1
]}

Nascimento, Flavio A. F. ^{[1
]}

Dos Santos, Manoel J. ^{[2
]}

Costa, Andre L. A. ^{[1
]}

机构：

[1] Univ Estadual Ceara, Ctr Sci & Technol, 1700 Dr Silas Munguba Ave, BR-60714903 Fortaleza, CE, Brazil

[2] Fed Univ Para, Fac Exact Sci & Technol, Manoel de Abreu St, BR-68440000 Abaetetuba, PA, Brazil

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2025年 / 74卷 / 02期

关键词：

Swelling porous elastic; Exponential decay; Time-varying delay; EXPONENTIAL STABILITY; STABILIZATION; EQUATIONS; SYSTEM;

D O I：

10.1007/s12215-025-01199-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work addresses a problem related to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils under the influence of a fractional delay mechanism. Using classical semigroup theory, we prove the existence of a global solution under a smallness condition on the fractional delay. Furthermore, we apply the energy method without assuming equal wave speed propagation to demonstrate exponential stability.

引用

页数：22

共 37 条

[1] Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights
Nonato, C. A. S.
Ramos, A. J. A.
Raposo, C. A.
Dos Santos, M. J.
Freitas, M. M.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
[2] Stabilization of swelling porous elastic soils with fluid saturation and delay time terms
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)
[3] On the stability of swelling porous elastic soils with fluid saturation by one internal damping
Wang, Jun-Min
Guo, Bao-Zhu
IMA JOURNAL OF APPLIED MATHEMATICS, 2006, 71 (04) : 565 - 582
[4] Stabilization and numerical treatment for swelling porous elastic soils with fluid saturation
Almeida Junior, Dilberto S.
Ramos, Anderson J. A.
Noe, Alberto S.
Freitas, Mirelson M.
Aum, Pedro T. P.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2021, 101 (11):
[5] Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights
C. A. S. Nonato
A. J. A. Ramos
C. A. Raposo
M. J. Dos Santos
M. M. Freitas
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[6] On the control of viscoelastic damped swelling porous elastic soils with internal delay feedbacks
Apalara, Tijani A.
Yusuf, Moruf O.
Salami, Babatunde A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 504 (02)
[7] Dynamics and singular limit for a swelling porous elastic soil model with fluid saturation and fractional delay
Miranda, Luiz G. R.
Freitas, Mirelson M.
Dos Santos, Manoel J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 545 (02)
[8] On the stability of the swelling porous elastic soils with fluid saturation and Gurtin–Pipkin thermal law
Ramos A.J.A.
Nonato C.A.
Raposo C.A.
Freitas M.M.
Coayla-Teran E.A.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (2) : 493 - 514
[9] Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation
Quintanilla, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (02) : 525 - 533
[10] Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term
Choucha, Abdelbaki
Boulaaras, Salah Mahmoud
Jan, Rashid
OPEN MATHEMATICS, 2023, 21 (01):

← 1 2 3 4 →