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

被引：5

作者：

Apalara, T. ^{[1
]}

Soufyane, A. ^{[2
]}

Afilal, M. ^{[3
]}

Alahyane, M. ^{[4
]}

机构：

[1] Univ Hafr Al Batin UHB, Math Dept Hafr Al Batin, Hafar al Batin, Saudi Arabia

[2] Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab Emirates

[3] Univ Cadi Ayyad, Fac Polydisciplinaire Safi, Dept Math & Informat, Marrakech, Morocco

[4] Univ Sharjah, Dept Math, RISE, Sharjah, U Arab Emirates

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 04期

关键词：

Swelling porous problem; nonlinear damping; general decay; EXPONENTIAL STABILITY; SOILS;

D O I：

10.1080/00036811.2021.1979218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1183 / 1198

页数：16

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