Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping

Abdelaziz Soufyane; Adel M. Al-Mahdi; Mohammad M. Al-Gharabli; Imad Kissami; Mostafa Zahri

doi:10.3934/nhm.2024019

Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping

Abdelaziz Soufyane
, Adel M. Al-Mahdi
, Mohammad M. Al-Gharabli
, Imad Kissami
, Mostafa Zahri^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, a swelling soil system with two nonlinear dampings of variable exponenttype is considered. The stability analysis of this system is investigated and it is proved that the system is stable under a natural condition on the parameters of the system and the variable exponents. It is noticed that one variable damping is enough to achieve polynomial and exponential decay and the decay is not necessarily improved if the system has two variable dampings.

Original language	English
Pages (from-to)	430-455
Number of pages	26
Journal	Networks and Heterogeneous Media
Volume	19
Issue number	1
DOIs	https://doi.org/10.3934/nhm.2024019
State	Published - 2024

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Publisher Copyright:
© 2024 The Author(s), licensee AIMS Press.

Keywords

Enemy method
asymptotic behavior
swelling soil
variable exponents

ASJC Scopus subject areas

Statistics and Probability
General Engineering
Computer Science Applications
Applied Mathematics

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10.3934/nhm.2024019

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title = "Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping",

abstract = "In this paper, a swelling soil system with two nonlinear dampings of variable exponenttype is considered. The stability analysis of this system is investigated and it is proved that the system is stable under a natural condition on the parameters of the system and the variable exponents. It is noticed that one variable damping is enough to achieve polynomial and exponential decay and the decay is not necessarily improved if the system has two variable dampings.",

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AU - Soufyane, Abdelaziz

AU - Al-Mahdi, Adel M.

AU - Al-Gharabli, Mohammad M.

AU - Kissami, Imad

AU - Zahri, Mostafa

PY - 2024

Y1 - 2024

N2 - In this paper, a swelling soil system with two nonlinear dampings of variable exponenttype is considered. The stability analysis of this system is investigated and it is proved that the system is stable under a natural condition on the parameters of the system and the variable exponents. It is noticed that one variable damping is enough to achieve polynomial and exponential decay and the decay is not necessarily improved if the system has two variable dampings.

AB - In this paper, a swelling soil system with two nonlinear dampings of variable exponenttype is considered. The stability analysis of this system is investigated and it is proved that the system is stable under a natural condition on the parameters of the system and the variable exponents. It is noticed that one variable damping is enough to achieve polynomial and exponential decay and the decay is not necessarily improved if the system has two variable dampings.

KW - Enemy method

KW - asymptotic behavior

KW - swelling soil

KW - variable exponents

UR - https://www.scopus.com/pages/publications/85191652956

U2 - 10.3934/nhm.2024019

DO - 10.3934/nhm.2024019

M3 - Article

AN - SCOPUS:85191652956

SN - 1556-1801

VL - 19

SP - 430

EP - 455

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

IS - 1

ER -

Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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