Exponential stability for a nonlinear porous-elastic system with delay

M. J. Dos Santos; C. A. Raposo; L. G. R. Miranda; B. Feng

doi:10.46298/cm.10439

M. J. Dos Santos ; C. A. Raposo ; L. G. R. Miranda ; B. Feng - Exponential stability for a nonlinear porous-elastic system with delay

cm:10439 - Communications in Mathematics, December 13, 2022, Volume 31 (2023), Issue 1 - https://doi.org/10.46298/cm.10439

Exponential stability for a nonlinear porous-elastic system with delayArticle

Authors: M. J. Dos Santos ; C. A. Raposo ; L. G. R. Miranda ; B. Feng

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.

Comment: Manuscript, 21 pages

https://doi.org/10.46298/cm.10439

Source: arXiv.org:2212.03585

Volume: Volume 31 (2023), Issue 1

Published on: December 13, 2022

Accepted on: December 8, 2022

Submitted on: December 8, 2022

Keywords: Mathematics - Analysis of PDEs, 35A02 (Primary) 35B35, 35B40 (Secondary), A.0

Licence: Attribution 4.0 International (CC BY 4.0)