期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 355, 期 -, 页码 34-44出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2017.06.002
关键词
Adhesion; Elastica; Obstacle problem; Contact potential; Free boundary problem; Graph representation
资金
- Program for Leading Graduate Schools, MEXT, Japan
- [15J05166]
- Grants-in-Aid for Scientific Research [15J05166] Funding Source: KAKEN
This paper mathematically studies membranes and filaments adhering to periodic patterned substrates in a one-dimensional model. The problem is formulated by the minimizing problem of an elastic energy with a contact potential on graph substrates. Global minimizers (ground states) are mainly considered in view of their graph representations. Our main results exhibit sufficient conditions for the graph representation and examples of situations where any global minimizer must overhang. (C) 2017 Elsevier B.V. All rights reserved.
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