Article
Uniform local null control of the Leray-α model
Author/s | Dias Araruna, Fágner
Fernández Cara, Enrique Araujo de Souza, Diego |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2014-10 |
Deposit Date | 2016-05-20 |
Published in |
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Abstract | This 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 ... This 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. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2006-07932
info:eu-repo/grantAgreement/MINECO/MTM2010-15592 |
Citation | Dias 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. |
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