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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBECK, Geoffrey
hal.structure.identifierMathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
dc.contributor.authorIMPERIALE, Sébastien
hal.structure.identifierPropagation des Ondes : Étude Mathématique et Simulation [POEMS]
dc.contributor.authorJOLY, Patrick
dc.date.accessioned2024-04-04T02:49:18Z
dc.date.available2024-04-04T02:49:18Z
dc.date.issued2020-10
dc.identifier.issn2662-2963
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191812
dc.description.abstractEnIn this work we tackle the modeling of non-perfectly conducting thin coaxial cables. From the non-dimensionnalised 3D Maxwells equations, we derive, by asymptotic analysis with respect to the (small) transverse dimension of the cable, a simplified effective 1D model and an effective reconstruction procedure of the electric and magnetic fields. The derived effective model involves a fractional time derivatives that accounts for the so-called skin effects in highly conducting regions.
dc.language.isoen
dc.publisherSpringer
dc.title.enAsymptotic modelling of Skin-effects in coaxial cables
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halSciences de l'ingénieur [physics]/Electromagnétisme
bordeaux.journalSN Partial Differential Equations and Applications
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02512156
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02512156v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SN%20Partial%20Differential%20Equations%20and%20Applications&rft.date=2020-10&rft.eissn=2662-2963&rft.issn=2662-2963&rft.au=BECK,%20Geoffrey&IMPERIALE,%20S%C3%A9bastien&JOLY,%20Patrick&rft.genre=article


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