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- W2138596306 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 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." @default.
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- W2138596306 date "2014-08-08" @default.
- W2138596306 modified "2023-10-04" @default.
- W2138596306 title "Uniform local null control of the Leray-αmodel" @default.
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- W2138596306 doi "https://doi.org/10.1051/cocv/2014011" @default.
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