{ "id": "math/0612376", "version": "v1", "published": "2006-12-13T23:35:19.000Z", "updated": "2006-12-13T23:35:19.000Z", "title": "Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem", "authors": [ "Moulay Rchid Sidi Ammi", "Delfim F. M. Torres" ], "comment": "9 pages", "journal": "J. Optim. Theory Appl., Vol. 135 (2007), Nr. 1, pp. 135-143", "doi": "10.1007/s10957-007-9244-7", "categories": [ "math.OC", "math.AP" ], "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.", "revisions": [ { "version": "v1", "updated": "2006-12-13T23:35:19.000Z" } ], "analyses": { "subjects": [ "49K20", "35K55" ], "keywords": [ "oil isotherm optimal control problem", "dead oil isotherm optimal control", "necessary optimality conditions", "partial differential equations resulting" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12376R" } } }