Lack of null controllability of viscoelastic flows
ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 60.

We consider controllability of linear viscoelastic flow with a localized control in the momentum equation. We show that, for Jeffreys fluids or for Maxwell fluids with more than one relaxation mode, exact null controllability does not hold. This contrasts with known results on approximate controllability.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2018067
Classification : 35Q35, 76A10, 93B05
Mots-clés : Linear viscoelasticity, controllability, microlocal analysis
Maity, Debayan 1 ; Mitra, Debanjana 1 ; Renardy, Michael 1

1 
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Maity, Debayan; Mitra, Debanjana; Renardy, Michael. Lack of null controllability of viscoelastic flows. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 60. doi : 10.1051/cocv/2018067. http://www.numdam.org/articles/10.1051/cocv/2018067/

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