Asymptotic modelling of Skin-effects in coaxial cables
IMPERIALE, Sébastien
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
IMPERIALE, Sébastien
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
< Leer menos
Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine [M3DISIM]
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en
Article de revue
Este ítem está publicado en
SN Partial Differential Equations and Applications. 2020-10
Springer
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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