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Effective multipoles in random media

Date: Thursday, April 5, 2018 10:00 - 12:00
Speaker: Peter Bella (University Leipzig)
Location: Mondi Seminar Room 2, Central Building
Series: Mathematics and CS Seminar
Host: Julian Fischer

Abstract:

In a homogenenous medium, the far-field generated by a localized source can be expanded in terms of multipoles, whose coefficients are determined by the moments of localized charge distribution. I will show that this is to some extent true also in a random medium in the case of(quantitative) stochastic homogenization: for example, in three space dimensions, the effective dipole and quadrapole, but not octapole, can be inferred (with overwhelming probability) without knowing the realization of the coefficient field away from the source and the point of interest.

This is a joint work with Arianna Giunti and Felix Otto.

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