On the stability of some systems of thermoelasticity of type III

The aim of this book is to investigate the well-posedness as well as the asymptotic behavior of solutions of some systems of thermoelasticity type III in the presence of viscoelastic damping and/or delay. In this regard, we study several problems and establish an exponential decay result for the one-dimensional case and several general decay results for the multi-dimensional case under some suitable assumptions. This study improves and generalizes several results in the literature.