Abstract: We introduce a length scale in the classical modeling of soap films as minimal surfaces by recovering Plateau’s problem as a singular limit of capillarity problems. The analysis of this approximation leads to some insights on soap films that are not accessible when working with minimal surfaces. This talk is based on joint works with Darren King (UT Austin), Antonello Scardicchio (ICTP) and Salvatore Stuvard (UT Austin).
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