Local controllability of the $N$-dimensional Boussinesq system with $N-1$ scalar controls in an arbitrary control domain

Nicolás Carreño

doi:10.3934/mcrf.2012.2.361

Article Contents

2012, Volume 2, Issue 4: 361-382. Doi: 10.3934/mcrf.2012.2.361

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Local controllability of the $N$-dimensional Boussinesq system with $N-1$ scalar controls in an arbitrary control domain

Nicolás Carreño^1,

1.
Université Pierre et Marie Curie, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris

Received: February 29, 2012

Revised: March 31, 2012

Published: November 2012

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Abstract

In this paper we deal with the local exact controllability to a particular class of trajectories of the $N$-dimensional Boussinesq system with internal controls having $2$ vanishing components. The main novelty of this work is that no condition is imposed on the control domain.

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Mathematics Subject Classification: 34B15, 35Q30, 93C10, 93B05.

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