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

Duy Phan; S\'ergio S. Rodrigues

arxiv: 1712.04900 · v1 · pith:S5GD2VGZnew · submitted 2017-12-13 · 🧮 math.OC

Approximate controllability for Navier--Stokes equations in 3D rectangles under Lions boundary conditions

Duy Phan , S\'ergio S. Rodrigues This is my paper

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keywords mathrmboundaryconditionslionsnavier--stokesrectanglessaturatingunder

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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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Approximate controllability for Navier--Stokes equations in 3D rectangles under Lions boundary conditions

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