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

被引：8

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

页码：1956 / 1977

页数：22

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