Thermoelastic diffusion system of type II with nonlocal delay

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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.




Raposo da Cunha, C. A., Feng, B., Ribeiro, J. O., & Coayla-Teran, E. A. (2024). Thermoelastic diffusion system of type II with nonlocal delay. Journal of Thermal Stresses, 47(1), 20–34.

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