Volume 25, 2019
|Number of page(s)||26|
|Published online||25 October 2019|
Lack of null controllability of viscoelastic flows*
Institut de Mathématiques, Université de Bordeaux, Bordeaux INP, CNRS,
2 Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, Maharashtra, India.
3 Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA.
** Corresponding author: firstname.lastname@example.org
Accepted: 24 November 2018
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.
Mathematics Subject Classification: 35Q35 / 76A10 / 93B05
Key words: Linear viscoelasticity / controllability / microlocal analysis
© EDP Sciences, SMAI 2019
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