TL;DR
This paper extends previous work on elastic flows by constructing migrating elastic flows for open curves under natural boundary conditions, focusing on local flow variants of Huisken's problem.
Contribution
It introduces a new local flow approach for migrating elastic flows of open curves, expanding the scope from nonlocal to local flows.
Findings
Construction of migrating elastic flows under natural boundary conditions
Extension from nonlocal to local flow variants
Advancement in understanding elastic flow dynamics
Abstract
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 to the purely local flow.
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