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

被引：3
|
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
收藏
页码：3 / 25
页数：23
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