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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Julian Fischer
Contact
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.