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

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...

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Detalles Bibliográficos
Autores: Boldrini, José Luiz, Fernández Cara, Enrique, Rojas Medar, Marko Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48798
Acceso en línea:http://hdl.handle.net/11441/48798
Access Level:acceso abierto
Palabra clave:Optimal control
Boussinesq model
Dubovitskii-Milyutin formalism
Descripción
Sumario: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.