Hanni Dridi

Well-Posedness and Energy Decay of a thin Plate with Dynamics in Thermoelasticity and Mass Diffusion

abstract:
In this note, we prove the global existence and the asymptotic behavior of solutions for a thermoelastic plate with mass diffusion. By assuming certain conditions on the parameters of the model which present sufficient conditions for the stability result, the stabilization under control of the Lyapunov functional is obtained only for a localized initial conditions in the ball of radius R.

Mathematics Subject Classification: 35B37, 35L55, 93D15, 74D05

Key words and phrases: von Kármán system, exponential stability, Lyapunov method, nonlinear system, semigroup approach, thermoelastic plate, mass diffusion, dynamical thermoelasticity