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Analysis and approximation of linear feedback control problems for the Boussinesq equations. (English) Zbl 1248.93063
Summary: 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

MSC:
93B40 Computational methods in systems theory (MSC2010)
93B52 Feedback control
35Q53 KdV equations (Korteweg-de Vries equations)
76D55 Flow control and optimization for incompressible viscous fluids
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