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

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Original languageEnglish
Pages (from-to)351-376
Number of pages26
JournalJournal of Dynamical and Control Systems
Issue number3
Early online date10 Jul 2018
Publication statusPublished - Jul 2019
Publication typeA1 Journal article-refereed


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.


  • Approximate controllability, Navier–Stokes equations, Saturating set

Publication forum classification

Field of science, Statistics Finland