Dispersive effective behavior of high-contrast periodic media

Abstract: I will discuss my recent work with Y. Ershova and A. Kiselev, demonstrating that spectral problems for quantum graphs with rapidly oscillating high-contrast weights are asymptotically equivalent to “homogenised” models with energy-dependent interface conditions. We show that these asymptotically equivalent models are directly related (in the sense of Schur-Frobenius duality) to models for time-dispersive media, which in the time domain involve memory, and we characterize the corresponding time convolution kernels explicitly.

Date: Apr 23, 2018 at 16:00 h
Venue: Sala de Seminarios John Von Neuamann. Beauchef 851, Torre Norte, Piso 7.
Speaker: Kirill Cherednichenko
Affiliation: University of Bath, United Kingdon
Coordinator: Prof. Carlos Conca
Abstract:
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Posted on Apr 17, 2018 in Mathematical Mechanics, Seminars