| Issue |
ESAIM: COCV
Volume 22, Number 4, October-December 2016
Special Issue in honor of Jean-Michel Coron for his 60th birthday
|
|
|---|---|---|
| Page(s) | 1137 - 1162 | |
| DOI | https://doi.org/10.1051/cocv/2016034 | |
| Published online | 13 September 2016 | |
Spectral inequality and optimal cost of controllability for the Stokes system∗
Universitéde Nice Sophia-Antipolis, Laboratoire Jean A. Dieudonné, UMR CNRS
6621, Parc Valrose, 06108 Nice cedex 02, France.
fchaves@unice.fr; gilles.lebeau@unice.fr
Received:
6
June
2016
Accepted:
7
June
2016
In this paper we present a new proof of the null controllability property for the Stokes system. The proof is based on a new spectral inequality for the eigenfunctions of the Stokes operator. As a consequence, we obtain the cost of the null controllability for the Stokes system of order eC/T, when T is small, i.e., the same order in time as for the heat equation.
Mathematics Subject Classification: 35K40 / 35Q30 / 49J20
Key words: Stokes system / null controllability / Carleman estimates / spectral inequality
© EDP Sciences, SMAI 2016
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