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- Darren King
- Department of Mathematics The University of Texas at Austin 2515 Speedway, Stop C1200 Austin TX 78712‐1202 USA
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- Francesco Maggi
- Department of Mathematics The University of Texas at Austin 2515 Speedway, Stop C1200 Austin TX 78712‐1202 USA
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- Salvatore Stuvard
- Department of Mathematics The University of Texas at Austin 2515 Speedway, Stop C1200 Austin TX 78712‐1202 USA
抄録
<jats:title>Abstract</jats:title><jats:p>Soap films at equilibrium are modeled, rather than as surfaces, as regions of small total volume through the introduction of a capillarity problem with a homotopic spanning condition. This point of view introduces a length scale in the classical Plateau's problem, which is in turn recovered in the vanishing volume limit. This approximation of area minimizing hypersurfaces leads to an energy based selection principle for Plateau's problem, points at physical features of soap films that are unaccessible by simply looking at minimal surfaces, and opens several challenging questions. © 2020 Wiley Periodicals LLC.</jats:p>
収録刊行物
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- Communications on Pure and Applied Mathematics
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Communications on Pure and Applied Mathematics 76 (6), 1139-1207, 2020-10-11
Wiley