Asymptotic behaviour in inhomogeneous linear thermoelasticity (original) (raw)

This paper studies the asymptotic behavior of solutions to classical thermoelastic equations for inhomogeneous and one-dimensional materials under various boundary conditions. It extends previous works on the stability of thermoelastic systems, emphasizing that while the displacement vector field decays to zero over time in one-dimensional cases, multidimensional scenarios show different decay behaviors due to the conservation of energy in specific components. The authors also highlight the complexities introduced by boundary conditions in bounded domains, noting the lack of existing results on decay rates of thermal and strain energies in n-dimensional models.