Well-posedness and stability of doublewall carbon nanotubes Timoshenko system under Lord-Shulman thermoelasticity

This article investigates the well-posedness and stability of double-wall carbon nanotubes modeled as a double-Timoshenko system with heat conduction of the Lord-Shulman type. The Hille-Yoside theorem is employed to substantiate the well-posedness result. The stability result of the system over time is established using the energy method. Our results reveal the existence of a unique solution that is exponentially stable irrespective of any assumptions on the coefficient of the system. Our coupling and results extend the previous results in the literature and provide a valuable contribution to the stability of carbon nanotubes governed by the Timoshenko system. The results will be of particular interest and value to engineers, materials scientists, and researchers working in the field of carbon nanotube-based problems.