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

[21] Asymptotic dynamics for fractionally damped swelling porous elastic soils with memory
Freitas, M. M.
Ramos, A. J. A.
Almeida Junior, D. S.
Miranda, L. G. R.
Noe, A. S.
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2023, 16 (01): : 1 - 23
[22] Well-posedness and general decay for a porous-elastic system with microtemperatures effects and time-varying delay term
Foughali, Fouzia
Zitouni, Salah
Bouzettouta, Lamine
Khochemane, Houssem Eddine
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (05):
[23] Well-posedness and stability result for a swelling porous elastic system with neutral delay and porous damping
Boudeliou, Marwa
Kilani, Brahim
Djebabla, Abdelhak
FILOMAT, 2024, 38 (09) : 3055 - 3067
[24] STABILITY RESULT FOR A THERMOELASTIC BRESSE SYSTEM WITH DELAY TERM IN THE INTERNAL FEEDBACK
Lamine, Bouzettouta
Sabah, Baibeche
Manel, Abdelli
Amar, Guesmia
MATHEMATICA BOHEMICA, 2023, 148 (03): : 409 - 434
[25] Stability Analysis of Viscoelastic Swelling Porous Elastic Soils With Nonlinear Kelvin-Voigt Dampings
Makheloufi, Hocine
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
[26] General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
Liu, Wenjun
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (04)
[27] EXPONENTIAL DECAY AND NUMERICAL SOLUTION FOR A TIMOSHENKO SYSTEM WITH DELAY TERM IN THE INTERNAL FEEDBACK
Rapos, C. A.
Chuquipoma, J. A. D.
Avila, J. A. J.
Santos, M. L.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 3 (01): : 1 - 13
[28] GLOBAL ATTRACTOR FOR A SUSPENSION BRIDGE PROBLEM WITH A NONLINEAR DELAY TERM IN THE INTERNAL FEEDBACK
Liu, Wenjun
Zhuang, Hefeng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (02): : 907 - 942
[29] General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term
Choucha, Abdelbaki
Ouchenane, Djamel
Zennir, Khaled
TAMKANG JOURNAL OF MATHEMATICS, 2021, 52 (04): : 479 - 495
[30] A STABILITY RESULT FOR A TIMOSHENKO SYSTEM WITH PAST HISTORY AND A DELAY TERM IN THE INTERNAL FEEDBACK
Said-Houari, Belkacem
Rahali, Radouane
DYNAMIC SYSTEMS AND APPLICATIONS, 2011, 20 (2-3): : 327 - 353

← 1 2 3 4 →