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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 4
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Research Article

A general stability result for swelling porous elastic media with nonlinear damping

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Pages 1183-1198 | Received 11 Apr 2021, Accepted 05 Sep 2021, Published online: 24 Sep 2021
 

Abstract

We consider a swelling porous-elastic system with a single nonlinear damping in the elastic equation. Recently, Ramos et al. [Stability results for elastic porous media swelling with nonlinear damping. J Math Phys. 2020;61(10):101505.] considered the same system and established a general decay result provided that the wave speeds of the system are equal. In this paper, we obtain the general decay result without imposing a condition on the wave speeds of the system. This is a striking and unexpected result compared to Timoshenko system, porous systems, and Laminated beams system with similar damping. We also perform some numerical tests to illustrate our theoretical results.

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Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

T. Apalara has been supported by University Hafr Al-Batin [grant number G-106-2020]. A. Soufyane has been supported by University of Sharjah [grant number 1802144069].

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