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| HAL : hal-00088320, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Nonlinear Analysis Theory Methods and Applications 47 (2001) 3295-3305 |
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| Self-inductance coefficient for toroidal thin conductors |
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| Youcef Amirat 1Rachid Touzani 1 |
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| (2001) |
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| We consider the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. An explicit form of the singular part of the corresponding potential $u\ue$ is given. This 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. The main result shows that $L\ue$ behaves asymptotically as $\ln\eps$, when $\eps\to 0$. |
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| 1 : | Laboratoire de Mathématiques |
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CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Asymptotic behaviour – self inductance – eddy currents – thin domain |
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| hal-00088320, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00088320 | |
| oai:hal.archives-ouvertes.fr:hal-00088320 | |
| Contributeur : Rachid Touzani | |
| Soumis le : Mardi 1 Août 2006, 13:32:47 | |
| Dernière modification le : Mardi 1 Août 2006, 13:38:53 | |
