@article{10902/16179,
year = {2019},
month = {4},
url = {http://hdl.handle.net/10902/16179},
abstract = {In this paper, we consider an optimal control problem for the two-dimensional stationary Navier-Stokes system. Looking for sparsity, we take Borel measures as controls. We prove the well-posedness of the control problem and derive necessary and sufficient conditions for local optimality of the controls. Finally, under a second order condition, we prove rates of the optimal states with respect to small perturbations in the data of the control problem.},
organization = {The first author was supported by the Spanish Ministerio de Economía, Industria y Competitividad under research projects MTM2014-57531-P and MTM2017-83185-P. The second author was supported by the ERC advanced grant 668998 (OCLOC) under the EU’s H2020 research program.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM Journal on Control and Optimization, 2019, 57(2), 1328-1354},
title = {Optimal control of the two-dimensional stationary Naviers-Stokes equations with measure valued controls},
author = {Casas Rentería, Eduardo and Kunisch, Karl},
}