paper

Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

arXiv:math/0612376 · doi:10.1007/s10957-007-9244-7

Abstract

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. Recent results on the problem provide existence, uniqueness and regularity of the optimal solution. Here we obtain the first necessary optimality conditions.

9 pages

Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem · wovepaper