Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
Optimization and Control
2020-07-09 v1
Abstract
In this paper, we consider an optimal control problem for the two-dimensional evolutionary Navier-Stokes system. Looking for sparsity, we take controls as functions of time taking values in a space of Borel measures. The cost functional does not involve directly the control but we assume some constraints on them. We prove the well-posedness of the control problem and derive necessary and sufficient conditions for local optimality of the controls.
Keywords
Cite
@article{arxiv.2007.03991,
title = {Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls},
author = {Eduardo Casas and Karl Kunisch},
journal= {arXiv preprint arXiv:2007.03991},
year = {2020}
}
Comments
24 pages