Asymptotic modelling of Skin-effects in coaxial cables
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BECK, Geoffrey | |
hal.structure.identifier | Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM] | |
dc.contributor.author | IMPERIALE, Sébastien | |
hal.structure.identifier | Propagation des Ondes : Étude Mathématique et Simulation [POEMS] | |
dc.contributor.author | JOLY, Patrick | |
dc.date.accessioned | 2024-04-04T02:49:18Z | |
dc.date.available | 2024-04-04T02:49:18Z | |
dc.date.issued | 2020-10 | |
dc.identifier.issn | 2662-2963 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191812 | |
dc.description.abstractEn | In 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.iso | en | |
dc.publisher | Springer | |
dc.title.en | Asymptotic modelling of Skin-effects in coaxial cables | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Sciences de l'ingénieur [physics]/Electromagnétisme | |
bordeaux.journal | SN Partial Differential Equations and Applications | |
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-02512156 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02512156v1 | |
bordeaux.COinS | ctx_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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