Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

被引：4
|
作者：
Bui Trong Kien [1 ]
机构：
[1] Vietnam Acad Sci & Technol, Inst Math, Dept Optimizat & Control Theory, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam
来源：
ACTA MATHEMATICA VIETNAMICA | 2019年 / 44卷 / 02期
关键词：
Optimal control; Stationary Navier-stokes equations; Solution stability; Locally upper Holder continuity; Second-order necessary optimality condition; Second-order sufficient optimality condition;
D O I：
10.1007/s40306-018-00304-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a class of parametric optimal control problems governed by stationary Navier-Stokes equations with mixed pointwise constraints is considered. We give no-gap second-order necessary and sufficient conditions for unperturbed problem. We show that if the strictly second-order sufficient condition for unperturbed problem is valid and the objective function is locally Lipschitz continuous, then the solution map is locally upper Holder continuous at the reference parameter.
引用
收藏
页码：431 / 448
页数：18
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