A Two-dimensional eddy current model using thin inductors
| dc.creator | Amirat, Youcef | |
| dc.creator | Touzani, Rachid | |
| dc.date | 2006-07-11 | |
| dc.date.accessioned | 2026-07-07T07:18:15Z | |
| dc.date.available | 2026-07-07T07:18:15Z | |
| dc.description | We derive a mathematical model for eddy currents in two dimensional geometries where the conductors are thin domains. We assume that the current flows in the $x\_3$-direction and the inductors are domains with small diameters of order $O(ε)$. The model is derived by taking the limit $ε\to 0$. A convergence rate of $O(ε^α)$ with $0<α<1/2$ in the $L^2$--norm is shown as well as weak convergence in the $W^{1,p}$ spaces for $1< p <2$. | |
| dc.identifier | https://arxiv.org/abs/math/0607257 | |
| dc.identifier | http://arxiv.org/abs/math/0607257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114229 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B40 35Q60 | |
| dc.title | A Two-dimensional eddy current model using thin inductors | |
| dc.type | text |