@article{10902/22464, year = {2021}, month = {6}, url = {http://hdl.handle.net/10902/22464}, 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.}, organization = {The first author was supported by Spanish Ministerio de Economía, Industria y Competitividad under research project 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, 2021, 59(3), 2223-2246}, title = {Optimal control of the two-dimensional evolutionary Navier-Stokes equations with measure valued controls}, author = {Casas Rentería, Eduardo and Kunisch, Karl}, }