Analysis and approximation of linear feedback control problems for the Boussinesq equations *

The mathematical formulation and numerical solution of the linear feedback control problem associated with the Boussinesq equations are presented. We show that the unsteady solutions to the Boussinesq equations are stabilizable by internal controllers with exponential decaying property. Semidiscrete-in-time and full space-time discrete approximations are also studied. Some computational results are presented