Periodic PDEs with critical contrast: unified approach to homogenisation and links to time-dispersive media (Joint Analysis / Applied Mathematics Seminar)

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• Kirill Cherednichenko
• Friday 01 January 2021, 12:00-13:00
• Biosciences 301.

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I shall discuss a novel approach to the homogenisation of high-contrast periodic PDEs, which yields an explicitly construction of their norm-resolvent asymptotics. A practically relevant outcome of this result is that it interprets composite media with micro-resonators as a class of time-dispersive media. This is joint work with Yulia Ershova (St. Petersburg) and Alexander Kiselev (Yakutsk and Mexico City).

This talk is part of the Analysis seminar series.

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