Stability in thermoelastic diffusion theory with voids
Moncef Aouadi · Applicable Analysis · 2011
We analyse the longterm properties of a C 0-semigroup describing the solutions to a linear evolution system of thermoelastic diffusion with porosity recently developed by Aouadi [M. Aouadi, A theory of thermoelastic diffusion materials with voids, Z. Angew. Math. Phys. 61 (2009), pp. 357–379]. It is shown that there exists coupling of elasticity with porosity, temperature and diffusion for isotropic bodies. Our main result is to prove the lack of exponential stability and that the time decay of the solutions can be controlled only by a polynomial. We conclude by showing the impossibility of location in time of the solutions.