English

Approximate controllability for Navier--Stokes equations in $\mathrm{3D}$ rectangles under Lions boundary conditions

Optimization and Control 2018-07-17 v1

Abstract

The 3D\mathrm{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\mathrm{3D} rectangles is given.

Keywords

Cite

@article{arxiv.1712.04900,
  title  = {Approximate controllability for Navier--Stokes equations in $\mathrm{3D}$ rectangles under Lions boundary conditions},
  author = {Duy Phan and Sérgio S. Rodrigues},
  journal= {arXiv preprint arXiv:1712.04900},
  year   = {2018}
}

Comments

21 pages

R2 v1 2026-06-22T23:17:14.313Z