State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations

被引：35
作者：
De Los Reyes, J. C. [1 ,2 ]
Griesse, R.
机构：
[1] EPN Quito, Dept Math, Quito, Ecuador
[2] TU Berlin, Inst Math, Berlin, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 01期
关键词：
optimal control; Navier-Stokes equations; state constraints; Lipschitz stability;
D O I：
10.1016/j.jmaa.2008.01.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an optimal control problem for the stationary Navier-Stokes equations in the presence of state constraints is investigated. Existence of optimal solutions is proved and first order necessary conditions are derived. The regularity of the adjoint state and the state constraint multiplier is also studied. Lipschitz stability of the optimal control, state and adjoint variables with respect to perturbations is proved and a second order sufficient optimality condition for the case of pointwise state constraints is stated. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：257 / 272
页数：16
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