2016-05-202016-05-202014-10Dias Araruna, F., Fernández Cara, E. y Araujo de Souza, D. (2014). Uniform local null control of the Leray-α model. ESAIM: Control, Optimisation and Calculus of Variations, 20 (4), 1181-1202.1292-81191262-3377http://hdl.handle.net/11441/41441This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized variant of the Navier−Stokes system (α is a small positive parameter) that can also be viewed as a model for turbulent flows. We prove that the Leray-α equations are locally null controllable, with controls bounded independently of α. We also prove that, if the initial data are sufficiently small, the controls converge as α → 0+ to a null control of the Navier−Stokes equations. We also discuss some other related questions, such as global null controllability, local and global exact controllability to the trajectories, etc.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Null controllabilityCarleman inequalitiesLeray-α modelNavier−Stokes equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1051/cocv/2014011https://idus.us.es/xmlui/handle/11441/41441