Mathematics > Analysis of PDEs
[Submitted on 7 Dec 2022
(v1)
, last revised 12 Dec 2022 (this version, v2)]
Title: Exponential stability for a nonlinear porous-elastic system with delay
Title: 非线性多孔弹性系统与延迟的指数稳定性
Abstract: In this work, we consider the existence of global solution and the exponential decay of a nonlinear porous elastic system with time delay. The nonlinear term as well as the delay acting in the equation of the volume fraction. In order to obtain the existence and uniqueness of a global solution, we will use the semigroup theory of linear operators and under a certain relation involving the coefficients of the system together with a Lyapunov functional, we will establish the exponential decay of the energy associated to the system.
Submission history
From: Carlos Alberto Raposo Da Cunha [view email][v1] Wed, 7 Dec 2022 11:58:35 UTC (45 KB)
[v2] Mon, 12 Dec 2022 11:05:20 UTC (45 KB)
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