H-measures and system of Maxwell's

Hassan Taha (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell's system, in the full space $\Omega =\R^{3}$, without boundary conditions. We shall distinguish between two cases: constant coefficient case, and non coefficient-scalar case. In the two cases we give the behaviour of the H-measures associated to this system.

Mots clés: H-measures; Maxwell's system; Electromagnetism; homogenization of energy; Maxwell's system.

Domaines: Equations aux dérivées partielles [math.AP]

Hassan Taha. H-measures and system of Maxwell's. 2005. ⟨hal-00003819⟩