A general stability result for swelling porous elastic media with nonlinear damping. Issue 4 (4th March 2023)

• Record Type: Journal Article
• Authors: Apalara, T.; Soufyane, A.; Afilal, M.; Alahyane, M.
• Is Part Of: Applicable analysis. Volume 102:Issue 4(2023)
• Page Start: 1183
• Page End: 1198
• Publication Date: 2023-03-04
• Subjects: Swelling porous problem -- nonlinear damping -- general decay; 93D20 -- 35B40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1979218
• Languages: English
• ISSNs: 0003-6811

Abstract

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.