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Explore variational models for charged liquid drops in this 40-minute lecture from the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into collaborative research with M. Novaga and B. Ruffini examining the mathematical challenges of charged liquid drop models, where the most natural problem formulation leads to non-existence of minimizers. Discover the identification of regularizing mechanisms that restore well-posedness to these variational problems. Learn about recent findings developed with M. Novaga and A. Prade concerning the validity of Young's law for capillary charged drops, providing insights into the intersection of variational calculus, free boundary problems, and mathematical physics.
