An optimal control problem of the 3D viscous Camassa-Holm equations

被引：4

作者：

Cung The Anh ^{[1
]}

Dang Thanh Son ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

[2] Telecommun Univ, Fdn Sci Fac, Nha Trang, Khanh Hoa, Vietnam

来源：

OPTIMIZATION | 2021年 / 70卷 / 01期

关键词：

viscous Camassa-Holm equations; optimal control; existence; necessary optimality condition; sufficient optimality condition; NAVIER-STOKES EQUATIONS; GLOBAL WELL-POSEDNESS; DATA ASSIMILATION; EXISTENCE; DECAY;

D O I：

10.1080/02331934.2019.1696340

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：

In this paper, we study an optimal control problem of the three-dimensional viscous Camassa-Holm equations in bounded domains with Dirichlet boundary conditions and a quadratic objective functional. We first prove the existence of an optimal solution. Then we establish the first-order necessary and second-order sufficient optimality conditions.

引用

页码：3 / 25

页数：23

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