Asymptotic behaviour of the inductance coefficient for thin conductors
type: Distribution
access URL: https://hal.science/hal-00086528
format: HTML
issued: 2026-05-09T15:19:46.949429
modified: 2026-05-09T15:19:46.935903

test_moissonnage_selune
type: Agent

Asymptotic behaviour of the inductance coefficient for thin conductors
type: Dataset
contact point: Organization
  fn: CCSD
keyword: thin-domain
keyword: self-inductance
keyword: asymptotic-behavior
keyword: 35b40-35q60
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: eddy-currents
keyword: infoeu-reposemanticsarticle
landing page: 0218-2025
description: We 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 $\eps\to 0$.
issued: 2026-05-09T15:19:46.943915
language: en
modified: 2026-05-09T15:19:46.943919