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

  • Jose Luiz Boldrini
  • Enrique Fernández-cara
  • Marko Antonio Rojas-medar
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Mots-clés : optimal control, Boussinesq mo del, Dubovitskii-Milyutin formalism 2000 Mathematics Sub ject Classification, 49J20, 76D03

Résumé

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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Publié
2007-09-13
Comment citer
Boldrini, J. L., Fernández-cara, E., & Rojas-medar, M. A. (2007). An Optimal Control Problem for a Generalized Boussinesq Model: The Time Dependent Case. Revista Matemática Complutense, 20(2), 339-366. https://doi.org/10.5209/rev_REMA.2007.v20.n2.16487
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Artículos