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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[Forthcoming] On the control of a nonlinear system of viscoelastic equations

[Forthcoming] Sur le contrôle d’un système non-linéaire d’équations viscoélastiques


Muhammad I. Mustafa
Department of Mathematics - University of Sharjah
United Arab Emirates



Published on 23 October 2020   DOI :

Abstract

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In this paper we consider a nonlinear system of two coupled viscoelastic equations, prove the well posedness, and investigate the asymptotic behaviour of this system. We use minimal and general conditions on the relaxation functions and establish explicit energy decay formula which gives the best decay rates expected under this level of generality. Our new result generalizes the earlier related results in the literature.

In this paper we consider a nonlinear system of two coupled viscoelastic equations, prove the well posedness, and investigate the asymptotic behaviour of this system. We use minimal and general conditions on the relaxation functions and establish explicit energy decay formula which gives the best decay rates expected under this level of generality. Our new result generalizes the earlier related results in the literature.

General Decay Coupled System Viscoelasticity Relaxation function

General Decay Coupled System Viscoelasticity Relaxation function