@article {CIPRIANO20191956, title = {On the existence of optimal and ϵ-optimal feedback controls for stochastic second grade fluids}, journal = {Journal of Mathematical Analysis and Applications}, volume = {475}, number = {2}, year = {2019}, note = {n/a}, pages = {1956 - 1977}, abstract = {

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 ϵ-optimal feedback control.

}, keywords = {Feedback optimal control, Second grade fluids, Stochastic differential equation, -Optimal feedback control}, issn = {0022-247X}, doi = {https://doi.org/10.1016/j.jmaa.2019.03.064}, url = {http://www.sciencedirect.com/science/article/pii/S0022247X19302859}, author = {Cipriano, Fernanda and Diogo Pereira} }