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- URN to cite this document:
- urn:nbn:de:bvb:355-epub-510368
- DOI to cite this document:
- 10.5283/epub.51036
This publication is part of the DEAL contract with Wiley.
Abstract
Existence and regularity of minimizers for a geometric variational problem is shown. The variational integral models an energy contribution of the interface between two immiscible fluids in the presence of surfactants and includes a Helfrich type contribution, a Frank type contribution and a coupling term between the orientation of the surfactants and the curvature of the interface. Analytical results are proven in a one–dimensional situation for curves.
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