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
收藏
页码：1183 / 1198
页数：16
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