Uniform null controllability for parabolic equations with discontinuous diffusion coefficients
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | DARDÉ, Jérémi | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ERVEDOZA, Sylvain | |
| hal.structure.identifier | Universidad Tecnica Federico Santa Maria [Valparaiso] [UTFSM] | |
| dc.contributor.author | MORALES, Roberto | |
| dc.date.accessioned | 2024-04-04T02:46:22Z | |
| dc.date.available | 2024-04-04T02:46:22Z | |
| dc.date.issued | 2021-06 | |
| dc.identifier.issn | 1292-8119 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191544 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010 | |
| dc.description.sponsorship | Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040 | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.title.en | Uniform null controllability for parabolic equations with discontinuous diffusion coefficients | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/cocv/2021063 | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.journal | ESAIM: Control, Optimisation and Calculus of Variations | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02986358 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02986358v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Control,%20Optimisation%20and%20Calculus%20of%20Variations&rft.date=2021-06&rft.eissn=1292-8119&rft.issn=1292-8119&rft.au=DARD%C3%89,%20J%C3%A9r%C3%A9mi&ERVEDOZA,%20Sylvain&MORALES,%20Roberto&rft.genre=article |
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