Moulay Rchid Sidi Ammi, Agnieszka B. Malinowska, Delfim F. M. Torres
Published 2013-04-23Version 1
We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of mechanics of a continuous medium. Existence and regularity results of the optimal control are proved, as well as necessary optimality conditions.
Comments: This is a preprint of a paper whose final and definitive form will appear in Control and Cybernetics. Paper submitted 24-Sept-2012; revised 21-March-2013; accepted for publication 17-April-2013. arXiv admin note: text overlap with arXiv:math/0612376
Journal: Control and Cybernetics 42 (2013), no. 2, 459--470
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