Abstract
General contact conditions are developed for lipid membranes interacting with curved substrates along their edges. These include the anchoring conditions familiar from liquid-crystal theory and accommodate non-uniform membranes and non-uniform adhesion between a bulk fluid or membrane and a rigid substrate. The theory is illustrated through explicit solutions and numerical simulations.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Agrawal, A., Steigmann, D.J. Boundary-value problems in the theory of lipid membranes. Continuum Mech. Thermodyn. 21, 57–82 (2009). https://doi.org/10.1007/s00161-009-0102-8
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DOI: https://doi.org/10.1007/s00161-009-0102-8