From Galilean Covariance to Maxwell Equations: Back to the Quasi-Static Regimes

Vincent Mazauric (1, 2) , Nassim Addar (1) , Loic Rondot (1) , Philippe F. Wendling (3) , Michel R. Barrault (4)

1 Strategy & Technology
2 CMA - Centre de Mathématiques Appliquées
3 Magsoft
4 Guidance

Galilean electromagnetism is derived from a thermodynamic approach. Attention is paid on various regimes allowed by the quasi-static limit. It is emphasized that classical definition of electro-quasi-stationary and magneto-quasi-static regimes does not cover all the low-frequency case studies. As suggested by the thermodynamic approach of electromagnetism, it is proposed to: 1) discuss the validity of the regimes at the device scale and 2) derive the set of equations underlying the regimes from the variations of the magnetic and electrostatic powers instead of the magnitudes of the magnetic flux density and the electric field.

Mots clés: Maxwell equations; Thermodynamic approaches; Quasi-stationary; Quasi-static regime; Quasi-static; Magneto quasi statics; Electric fields; Low-frequency case

Domaines: Mathématiques [math]; Mathématiques appliquées

Vincent Mazauric, Nassim Addar, Loic Rondot, Philippe F. Wendling, Michel R. Barrault. From Galilean Covariance to Maxwell Equations: Back to the Quasi-Static Regimes. IEEE Transactions on Magnetics, 2014, 50 (11), pp.Article number 6971402. ⟨10.1109/TMAG.2014.2326623⟩. ⟨hal-01102323⟩