Open AccessWell-posedness and exponential decay for a laminated beam in thermoelasticity of type III with delay term
Author(s) -
Douib Madani,
Salah Zitouni,
Abdelhak Djebabla
Publication year - 2021
Publication title -
mathematica
Language(s) - English
Resource type - Journals
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2021.1.06
Subject(s) - term (time) , type (biology) , beam (structure) , exponential stability , exponential growth , exponential decay , mathematical analysis , exponential type , mathematics , exponential function , physics , quantum mechanics , optics , geology , paleontology , nonlinear system
We study the well-posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III with delay term in the first equation. We show that the system is well-posed by using Lumer-Philips theorem and prove that the system is exponentially stable if and only if the wave speeds are equal.