An optimal control problem for a generalized Boussinesq model: the time dependent case

• Autores: José Luiz Boldrini, Enrique Fernández Cara, Marko Antonio Rojas-Medar
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 20, Nº 2, 2007, págs. 339-366
• Idioma: inglés
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• Resumen

  • 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.