On the existence of optimal and ε-optimal feedback controls for stochastic second grade fluids

被引：7
|
作者：
Cipriano, Fernanda [1 ,2 ]
Pereira, Diogo [1 ]
机构：
[1] Univ Nova Lisboa, FCT, CMA, Lisbon, Portugal
[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, Lisbon, Portugal
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 02期
关键词：
Feedback optimal control; epsilon-Optimal feedback control; Second grade fluids; Stochastic differential equation; EQUATIONS;
D O I：
10.1016/j.jmaa.2019.03.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with a feedback optimal control problem for the stochastic second grade fluids. More precisely, we establish the existence of an optimal feedback control for the two-dimensional stochastic second grade fluids, with Navier-slip boundary conditions. In addition, using the Galerkin approximations, we show that the optimal cost can be approximated by a sequence of finite dimensional optimal costs, showing the existence of the so-called E optimal feedback control. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：1956 / 1977
页数：22
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