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

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.