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Uniform local null control of the Leray-α model

Fágner D. ArarunaEnrique Fernández-CaraDiego A. Souza — 2014

ESAIM: Control, Optimisation and Calculus of Variations

This paper deals with the distributed and boundary controllability of the so called Leray- model. This is a regularized variant of the Navier−Stokes system ( is a small positive parameter) that can also be viewed as a model for turbulent flows. We prove that the Leray- equations are locally null controllable, with controls bounded independently of . We also prove that, if the initial data are sufficiently small, the controls converge as → 0 to a null control of the Navier−Stokes equations. We also...

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