Existence and Regularity of Optimal Solution for a Dead Oil Isotherm Problem

Mathematics – Optimization and Control

Scientific paper

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Accepted for publication in the journal "Differential Geometry -- Dynamical Systems" (22-July-2006)

Scientific paper

We study a system of nonlinear partial differential equations resulting from
the traditional modelling of oil engineering within the framework of the
mechanics of a continuous medium. Existence and regularity of the optimal
solutions for this system is established.

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