Uniform null controllability for parabolic equations with discontinuous diffusion coefficients
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en
Article de revue
Este ítem está publicado en
ESAIM: Control, Optimisation and Calculus of Variations. 2021-06
EDP Sciences
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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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
Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040
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