Graduate Student / Postdoc Seminar
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.
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.