Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 2 (May 2021) > Article
Muhammad I. Mustafa
Department of Mathematics - University of Sharjah
United Arab Emirates
Published on 26 April 2021 DOI : 10.21494/ISTE.OP.2021.0648
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