Time-domain study of the Drude-Born-Fedorov model for a class of heterogeneous chiral materials

Patrick Ciarlet (1) , Guillaume Legendre (2) , Serge Nicaise (3)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous chiral material modeled by the Drude-Born-Fedorov constitutive relations. A new formulation of the underlying evolution problem allows us to correct a previous result establishing the existence and uniqueness of the electromagnetic fields in a homogeneous medium.

Domaines: Equations aux dérivées partielles [math.AP]

Patrick Ciarlet, Guillaume Legendre, Serge Nicaise. Time-domain study of the Drude-Born-Fedorov model for a class of heterogeneous chiral materials. 2011. ⟨hal-00430196v2⟩