DARDÉ, Jérémi; ERVEDOZA, Sylvain; MORALES, Roberto

doi:10.1051/cocv/2021063

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DARDÉ, Jérémi
Institut de Mathématiques de Toulouse UMR5219 [IMT]

ERVEDOZA, Sylvain
Institut de Mathématiques de Bordeaux [IMB]

MORALES, Roberto
Universidad Tecnica Federico Santa Maria [Valparaiso] [UTFSM]

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Ce document a été publié dans

ESAIM: Control, Optimisation and Calculus of Variations. 2021-06

EDP Sciences

Résumé en anglais

In this article, we study the null-controllability of a heat equation in a domain composed of two media of different constant conductivities. In particular, we are interested in the behavior of the system when the conductivity of the medium on which the control does not act goes to infinity, corresponding at the limit to a perfectly conductive medium. In that case, and under suitable geometric conditions, we obtain a uniform null-controllability result. Our strategy is based on the analysis of the controllability of the corresponding wave operators and the transmutation technique, which explains the geometric conditions.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191544

DOI

http://dx.doi.org/10.1051/cocv/2021063

Project ANR

Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040

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Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251