Exponential decay of a thermoelastic system for a thin plate under periodic sunlight

In this paper we investigate a thermoelastic system with Dirichlet or Neumann or natural boundary conditions. For completeness we derive the thermoelastic system model and show the stability results for different boundary conditions which are based on the analysis of the corresponding eigenvalue problems. Further we derive the equilibrium ambient temperature equations that admits a periodic solution modeling the daily heat source from the sun.