Pontryagin's Principle for Optimal Control Problem Governed by 3D Navier-Stokes Equations

被引：8

作者：

Kien, B. T. ^{[1
]}

Roesch, A. ^{[2
]}

Wachsmuth, D. ^{[3
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam

[2] Univ Duisburg Essen, Fac Math, Thea Leymann Str 9, D-45127 Essen, Germany

[3] Wurzburg Univ, Inst Math, Emil Fischer St 30, D-97074 Wurzburg, Germany

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 173卷 / 01期

关键词：

Optimal control; Navier-Stokes equation; Pontryagin's principle; Strong solution; Control constraint;

D O I：

10.1007/s10957-017-1081-8

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：

This paper deals with the Pontryagin maximum principle for optimal control problems governed by 3D Navier-Stokes equations with pointwise control constraint. The obtained result is proved by using some results on regularity of solutions of the Navier-Stokes equations and techniques of optimal control theory.

引用

页码：30 / 55

页数：26

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