Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control
Analysis of PDEs
2018-04-27 v1
Abstract
In this paper, we consider the Stokes equations in a two-dimen- sional channel with periodic conditions in the direction of the channel. We establish null controllability of this system using a boundary control which acts on the normal component of the velocity only. We show null controllability of the system, subject to a constraint of zero average, by proving an observability inequality with the help of a Muntz-Szasz Theorem.
Keywords
Cite
@article{arxiv.1804.09935,
title = {Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control},
author = {Shirshendu Chowdhury and Debanjana Mitra and Michael Renardy},
journal= {arXiv preprint arXiv:1804.09935},
year = {2018}
}
Comments
Accepted in Evolution Equations and Control Theory, 2018