paper

Approximate controllability for Navier--Stokes equations in {\rm 3D} Cylinders under Lions boundary conditions by an explicit saturating set

arXiv:1810.04799 · doi:10.3934/eect.2020062

Abstract

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 Cylinders under Lions boundary conditions.

33 pages, 4 figures. arXiv admin note: text overlap with arXiv:1712.04900

Approximate controllability for Navier--Stokes equations in {\rm 3D} Cylinders under Lions boundary conditions by an explicit saturating set · wovepaper