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Optimal control for a steady state dead oil isotherm problem

Sidi Ammi M. R., Malinowska A. B., Torres D. F. M.

Control and Cybernetics

2013

Vol. 42, no. 2

459--470

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 optima control are proved, as well as necessary optimality conditions.