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arXiv · 1712.04900

Approximate controllability for Navier--Stokes equations in $\mathrm{3D}$ rectangles under Lions boundary conditions

Duy Phan·Sérgio S. Rodrigues
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Abstract

The $\mathrm{3D}$ Navier--Stokes system, under Lions boundary conditions, is proven to be approximately controllable provided a suitable saturating set does exist. An explicit saturating set for $\mathrm{3D}$ rectangles is given.

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Duy Phan, Sérgio S. Rodrigues. 2017-12-13. Approximate controllability for Navier--Stokes equations in $\mathrm{3D}$ rectangles under Lions boundary conditions. https://doi.org/10.1007/s10883-018-9412-0

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