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X-WR-CALDESC:FAU DCN-AvH. Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship
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DTSTART;TZID=Europe/Berlin:20210218T123000
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DTSTAMP:20211020T084409Z
CREATED:20211020
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SUMMARY:Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics
DESCRIPTION:Speaker: Prof. Dr. Serge Nicaise\nAffiliation: Université Polytechnique Hauts-de-France, France\nRequest Zoom meeting link\nAbstract. In this talk, we will present a linearized hydrodynamical model describing the response of nanometric dispersive metallic materials illuminated by optical light waves, a situation occurring in nanoplasmonics. The model corresponds to the coupling between the Maxwell system and a PDE describing the evolution of the polarization current of the electrons in the metal. First by using semigroup theory its well posedness will be shown. Then using a frequency approach, a polynomial (and optimal) stability result will be presented. We will also investigate the numerical stability for a discontinuous Galerkin type approximation and several explicit time integration schemes. Numerical tests that confirm our theoretical prediction will be given.\nThis is a join work with Claire Scheid (Université Côte d’Azur, France)\n
URL:https://dcn.nat.fau.eu/events/stability-and-asymptotic-properties-of-a-linearized-hydrodynamic-medium-model-for-dispersive-media-in-nanophotonics/
CATEGORIES:FAU CAA Seminar
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