Approximate Controllability for Navier–Stokes Equations in 3D Rectangles Under Lions Boundary Conditions

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Abstract

The 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 3D rectangles is given.

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Phan, D., & Rodrigues, S. S. (2019). Approximate Controllability for Navier–Stokes Equations in 3D Rectangles Under Lions Boundary Conditions. Journal of Dynamical and Control Systems, 25(3), 351–376. https://doi.org/10.1007/s10883-018-9412-0

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