@article{10902/38376, year = {2024}, month = {5}, url = {https://hdl.handle.net/10902/38376}, abstract = {First and second-order optimality conditions for optimal control problems over the infinite time horizon subject to the Navier-Stokes equations are derived. The cost functional enhances temporal sparsity of the controls, which implies that the optimal controls shut down in finite time. The problem formulation also includes explicit constraints on the control which may be non-smooth and non-affine.}, organization = {The first author was partially supported by MCIN/ AEI/10.13039/501100011033 under research project PID2020-114837GB-I00.}, publisher = {Taylor and Francis Ltd.}, publisher = {Optimization, 2025, 74(13), 3037-3080}, title = {First- and second-order optimality conditions for the control of infinite horizon Navier-Stokes equations}, author = {Casas RenterĂ­a, Eduardo and Kunisch, Karl}, }