Author:
Anaya Khaleel,Messaoudi Salim A.,Mustapha Kassem
Abstract
AbstractIn this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.
Publisher
Springer Science and Business Media LLC
Reference15 articles.
1. Al-Gharabli, M.; Guesmia, A.; Messaoudi, S.: Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity. Commun. Pure Appl. Anal. 18, 159–175 (2019)
2. Belhannache, F.; Al-Gharabli, M.; Messaoudi, S.: Asymptotic stability for a viscoelastic equation with nonlinear damping and very general type of relaxation functions. J. Dyn. Control Syst. 26, 45–67 (2019)
3. Cavalcanti, M.; Cavalcanti, V.; Soriano, J.: Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping. Electron. J. Differ. Equ. 44, 54–65 (2002)
4. Dafermos, M.: An abstract Volterra equation with applications to linear viscoelasticity. J. Differ. Equ. 7, 554–569 (1970)
5. Dafermos, M.: Asymptotic stability in viscoelasticity. Arch. Ration. Mech. Anal. 37, 297–308 (1970)
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