On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials
| hal.structure.identifier | Université de Pau et des Pays de l'Adour [UPPA] | |
| hal.structure.identifier | Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP] | |
| dc.contributor.author | PÉRON, Victor | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | POIGNARD, Clair | |
| dc.date.accessioned | 2024-04-04T02:49:09Z | |
| dc.date.available | 2024-04-04T02:49:09Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0044-2275 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191797 | |
| dc.description.abstractEn | This work is concerned with the time-harmonic eddy current problem in a bidimen-sional setting with a high contrast of magnetic permeabilities between a conducting medium and a dielectric medium. We describe a magnetic skin effect by deriving rigorously a multiscale expansion for the magnetic potential in power series of a small parameter ε which represents the inverse of the square root of a relative permeability. We make explicit the first asymptotics up to the order ε^3. As an application we obtain impedance conditions up to the fourth order of approximation for the magnetic potential. Finally we measure this skin effect with a characteristic length that depends on the scalar curvature of the boundary of the conductor. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Asymptotic Expansions | |
| dc.subject.en | Impedance Conditions | |
| dc.subject.en | Eddy Current Problems | |
| dc.subject.en | Magnetic Potential | |
| dc.subject.en | Ferromagnetic Material | |
| dc.title.en | On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00033-021-01596-6 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Zeitschrift für Angewandte Mathematik und Physik | |
| 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-02968889 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02968889v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Zeitschrift%20f%C3%BCr%20Angewandte%20Mathematik%20und%20Physik&rft.date=2021&rft.eissn=0044-2275&rft.issn=0044-2275&rft.au=P%C3%89RON,%20Victor&POIGNARD,%20Clair&rft.genre=article |
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