Graduate Student / Postdoc Seminar

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The Hydrid Resonance of Maxwell's Equations in Slab Geometry: Bessel Functions and General Dissipation Tensor

Speaker: Lise-Marie Imbert-Gérard

Location: Warren Weaver Hall 1302

Date: Friday, February 20, 2015, 1 p.m.

Synopsis:

The hybrid resonance corresponds to an infinite limit of the local wavenumber in the so-called cold plasma model, modeling wave propagation in a plasma. An appropriate limit absortpion principle is a powerful tool to understand the singular behavior of waves at the resonance. This talk will focus on two aspects of the mathematical analysis of such a regularization process: the representation of solutions by means of Bessel functions on the one hand, the fact that the resulting heating term is independent of the regulatization term on the other hand.