| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 72 | |
| Number of page(s) | 18 | |
| DOI | https://doi.org/10.1051/cocv/2019067 | |
| Published online | 30 September 2020 | |
Non null controllability of Stokes equations with memory
1
University of Sevilla, Dpto. E.D.A.N, Aptdo 1160,
41080
Sevilla, Spain.
2
Department of Mathematics, Federal University of Pernambuco, UFPE, CEP 50740-545,
Recife,
PE, Brazil.
§ Corresponding author: diego.souza@dmat.ufpe.br
Received:
15
November
2018
Accepted:
3
November
2019
In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive final time T > 0, we construct initial conditions such that the null controllability does not hold even if the controls act on the whole boundary. We also prove that this negative result holds for distributed controls.
Mathematics Subject Classification: 93B05 / 93B07 / 76D07 / 35K10
Key words: Stokes equations with memory / lack of null controllability / observability inequality
© EDP Sciences, SMAI 2020
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