Thermoelastic diffusion system of type II with nonlocal delay

Abstract

This article deals with the well-posedness and exponential stability of a thermoelastic diffusion system with delay under Green and Naghdi’s theory that predicts a finite speed for heat propagation and involves no energy dissipation. Through semigroup theory, we prove the well-posedness by the Lumer–Phillips theorem and the exponential stability by exploring the dissipative properties of the linear operator associated with the model using the Gearhart–Huang–Pruss theorem.