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

Phan, Duy; Rodrigues, Sérgio S. (2018-07-10)
 
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Phan, Duy
Rodrigues, Sérgio S.
10.07.2018

Journal of Dynamical and Control Systems
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doi:10.1007/s10883-018-9412-0
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https://urn.fi/URN:NBN:fi:tuni-202203032314

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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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