Asymptotic behaviour of the inductance coefficient for thin conductors

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dc.creatorTouzani, Rachid
dc.creatorAmirat, Youcef
dc.date2006-07-19
dc.date.accessioned2026-07-07T07:20:41Z
dc.date.available2026-07-07T07:20:41Z
dc.descriptionWe study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. We give an explicit form of the singular part of the corresponding potential $u\ue$ which allows to construct the limit potential $u$ (as $\eps\to 0$) and an approximation of the inductance coefficient $L\ue$. We establish some estimates of the deviation $u\ue-u$ and of the error of approximation of the inductance. We show that $L\ue$ behaves asymptotically as $\ln\eps$, when $\eps\to 0$.
dc.identifierhttps://arxiv.org/abs/math/0607452
dc.identifierhttp://arxiv.org/abs/math/0607452
dc.identifierMathematical Models and Methods in Applied Sciences 12 (2002) 273-289
dc.identifierdoi:10.1142/S0218202502001647
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115035
dc.subjectAnalysis of PDEs
dc.subject35B40 35Q60
dc.titleAsymptotic behaviour of the inductance coefficient for thin conductors
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