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Migrating elastic flows II
Tatsuya Miura
We solve a variant of Huisken's problem for open curves: we construct migrating elastic flows under the natural boundary conditions, extending previous work from the nonlocal flow…
math.AP2024
Smooth compactness of elasticae
Tatsuya Miura
We prove a smooth compactness theorem for the space of elasticae, unless the limit curve is a straight segment. As an application, we obtain smooth stability results for minimizers…
math.AP2024
Elastic curves and self-intersections
Tatsuya Miura
This is an expository note to give a brief review of classical elastica theory, mainly prepared for giving a more detailed proof of the author's Li--Yau type inequality for self-in…