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Null controllability of the linearized compressible Navier–Stokes equations using moment method

Null controllability of the linearized compressible Navier–Stokes equations using moment method In this paper, we consider one-dimensional compressible Navier–Stokes equations linearized around a constant steady state ( Q 0 , V 0 ), Q 0 > 0, V 0 > 0 with periodic boundary condition. We explore the controllability of this linearized system using a control only for the velocity equation. We establish that the linearized system with periodic boundary conditions is null controllable when time is large enough, for regular initial data by a localized interior control. Finally, we show that this system is boundary null controllable, when time is large enough, for slightly less regular initial data compared to interior controllability case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Null controllability of the linearized compressible Navier–Stokes equations using moment method

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References (39)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-014-0263-1
Publisher site
See Article on Publisher Site

Abstract

In this paper, we consider one-dimensional compressible Navier–Stokes equations linearized around a constant steady state ( Q 0 , V 0 ), Q 0 > 0, V 0 > 0 with periodic boundary condition. We explore the controllability of this linearized system using a control only for the velocity equation. We establish that the linearized system with periodic boundary conditions is null controllable when time is large enough, for regular initial data by a localized interior control. Finally, we show that this system is boundary null controllable, when time is large enough, for slightly less regular initial data compared to interior controllability case.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jun 1, 2015

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