English

Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

Optimization and Control 2007-10-14 v1 Analysis of PDEs

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.

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Cite

@article{arxiv.math/0612376,
  title  = {Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem},
  author = {Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:math/0612376},
  year   = {2007}
}

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9 pages