Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping-Reference-Cited by-同舟云学术

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

Published:2024 Issue:1 Volume:19 Page:430-455
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Soufyane Abdelaziz¹,Al-Mahdi Adel M.²³,Al-Gharabli Mohammad M.²³,Kissami Imad⁴,Zahri Mostafa¹

Affiliation:

1. Department of Mathematics, College of Sciences, University of Sharjah, P.O.Box 27272, Sharjah, United Arab Emirates

2. Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

3. The Interdisciplinary Research Center in Construction and Building Materials, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

4. College of Computing, Mohammed Ⅵ Polytechnic University, Lot 990 Hay Moulay Rachid, Benguerir 43150, Morocco

Abstract

<abstract><p>In this paper, a swelling soil system with two nonlinear dampings of variable exponent-type 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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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