Existence and Regularity of Optimal Solution for a Dead Oil Isotherm Problem
نویسندگان
چکیده
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. Mathematics Subject Classification 2000: 49J20, 35K55.
منابع مشابه
Optimal Control for a Steady State Dead Oil Isotherm Problem
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 optimal control are proved, as well as necessary optimality conditions. Mathematics ...
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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. Mathematics Subject Classification 2000: 49K20, 35K55.
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