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Mathematics > Analysis of PDEs

arXiv:1804.09935 (math)
[Submitted on 26 Apr 2018]

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

Authors: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.
Comments: Accepted in Evolution Equations and Control Theory, 2018
Subjects: Analysis of PDEs (math.AP)
MSC classes: Primary: 93C20, 93B05, Secondary: 76D05
Cite as: arXiv:1804.09935 [math.AP]
  (or arXiv:1804.09935v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.09935

Submission history

From: Shirshendu Chowdhury [view email]
[v1] Thu, 26 Apr 2018 08:29:26 UTC (32 KB)
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