Control Localized on Thin Structures for the Linearized Boussinesq System |
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| Authors: | P A Nguyen J P Raymond |
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| Institution: | (1) Applied Mathematics–Informatics Faculty, Hanoi University of Technology, No. 1 Dai Co Viet Str., Hai Ba Trung Dist., Hanoi, Vietnam;(2) Institut de Mathématiques de Toulouse, équipe MIP, UMR CNRS 5219, Université Paul Sabatier, 31062 Toulouse Cedex 9, France |
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| Abstract: | We study optimal control problems for the linearized Boussinesq system when the control is supported on a submanifold of the
boundary of the domain. This type of problem belongs to the class of optimal control problems with measures as controls, which
has been studied recently by several authors. We are mainly interested in the optimality conditions for such problems. It
is known that the differentiability properties needed to obtain the optimality conditions are more demanding, in terms of
regularity of the data, than what is needed to prove the existence of optimal controls. Here we are able to derive the optimality
conditions by taking advantage of the particular structure of the controls. |
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| Keywords: | Optimal control Pointwise controls Control supported on submanifolds Linearized Boussinesq systems |
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