The critical points of the elastic energy among curves pinned at endpoints
نویسندگان
چکیده
<p style='text-indent:20px;'>In this paper we find curves minimizing the elastic energy among whose length is fixed and ends are pinned. Applying shooting method, can identify all critical points explicitly determine which curve global minimizer. As a result show that consist of wavelike elasticae minimizers do not have any loops or interior inflection points.</p>
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2021
ISSN: ['1553-5231', '1078-0947']
DOI: https://doi.org/10.3934/dcds.2021122