Uniform local null control of the Leray-α model
Fágner D. Araruna, Enrique Fernández-Cara, Diego A. Souza (2014)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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....