An Optimal Control Problem for a Generalized Boussinesq Model: The Time Dependent Case

نویسندگان

  • Jose Luiz BOLDRINI
  • Enrique FERNÁNDEZ-CARA
  • Marko Antonio ROJAS-MEDAR
چکیده

We consider an optimal control problem governed by a system of nonlinear partial differential equations modelling viscous incompressible flows submitted to variations of temperature. We use a generalized Boussinesq approximation. We obtain the existence of the optimal control as well as first order optimality conditions of Pontryagin type by using the Dubovitskii-Milyutin formalism.

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تاریخ انتشار 2007