Approximate controllability for Navier–Stokes equations in $ \rm3D $ cylinders under Lions boundary conditions by an explicit saturating set
Duy Phan · Evolution equations and control theory · 2020
An explicit saturating set consisting of eigenfunctions of Stokes operator in general 3D Cylinders is proposed. The existence of saturating sets implies the approximate controllability for Navier–Stokes equations in \begin{document}$ \rm 3D $\end{document} Cylinders under Lions boundary conditions.