Boundary control problem for stochastic 2d-Navier-Stokes equations
Analysis of PDEs
2023-12-12 v1 Optimization and Control
Abstract
We study a stochastic velocity tracking problem for the 2D-Navier-Stokes equations perturbed by a multiplicative Gaussian noise. From a physical point of view, the control acts through a boundary injection/suction device with uncertainty, modeled by stochastic non-homogeneous Navier-slip boundary conditions. We show the existence and uniqueness of the solution to the state equation, and prove the existence of an optimal solution to the control problem.
Cite
@article{arxiv.2312.05935,
title = {Boundary control problem for stochastic 2d-Navier-Stokes equations},
author = {Nikolai Chemetov and Fernanda Cipriano},
journal= {arXiv preprint arXiv:2312.05935},
year = {2023}
}