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Journal Articles Mathematical Methods in the Applied Sciences Year : 2013

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

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Abstract

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous isotropic chiral material modeled by the Drude-Born-Fedorov constitutive relations with different boundary conditions. A new formulation of the underlying evolution problems allows us to establish existence and uniqueness results. The selfadjointness of the curl operator multiplied by a piecewise smooth function in an appropriated Hilbert space is also proved.
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Dates and versions

hal-03163846 , version 1 (09-03-2021)

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Serge Nicaise. Time-domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials. Mathematical Methods in the Applied Sciences, 2013, 36 (7), pp.794-813. ⟨10.1002/mma.2627⟩. ⟨hal-03163846⟩
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