Necessary optimality conditions for a dead oil isotherm optimal control problem

被引：4

作者：

Ammi, M. R. Sidi ^{[1
]}

Torres, D. F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3800 Aveiro, Portugal

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2007年 / 135卷 / 01期

关键词：

optimal control of distributed systems; dead oil isotherm problem; necessary optimality conditions;

D O I：

10.1007/s10957-007-9244-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：135 / 143

页数：9

共 12 条

[1]

AMMI MRS, 2007, APPL SCI, V9, P5

[2]

Bensoussan A., 1978, Asymptotic analysis for periodic structures

[3] Numerical investigation of optimal control of induction heating processes [J].