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.
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页码：431 / 448
页数：18
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