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Analysis of optimal boundary control of the Boussinesq approximation

Bärwolff, Günter; Hinze, Michael

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

In the present paper we complement a recent applied work with presenting the analytical framework for general optimal boundary control problems of the Boussinesq approximation. We prove existence of optimal controls, use results of Gajewski (1975) to prove existence and uniqueness of solutions to state and the adjoint system, and derive first order necessary as well as second order sufficient optimality conditions.
  • This preprint is a revised version of Preprint 38-2007.