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arXiv · 1804.09935

Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control

Shirshendu Chowdhury·Debanjana Mitra·Michael Renardy
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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.

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Shirshendu Chowdhury, Debanjana Mitra, Michael Renardy. 2018-04-26. Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control. https://arxiv.org/abs/1804.09935

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