Global existence, asymptotic behavior and uniform attractors for a non-autonomous Timoshenko system of thermoelasticity of type III with a time-varying delay

Abstract

In this paper, we first establish the global existence by using the variable norm technique of Kato and semigroup method. Second, under suitable assumptions on the data, we obtain the asymptotic behavior of the solution. Last, we prove the existence of a uniform attractor by using the method of uniform contractive functions.