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Migrating elastic flows

Published 22 Mar 2023 in math.AP, cs.NA, math.DG, and math.NA | (2303.12516v2)

Abstract: Huisken's problem asks whether there is an elastic flow of closed planar curves that is initially contained in the upper half-plane but `migrates' to the lower half-plane at a positive time. Here we consider variants of Huisken's problem for open curves under the natural boundary condition, and construct various migrating elastic flows both analytically and numerically.

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Authors (2)

  1. Tomoya Kemmochi 
  2. Tatsuya Miura 

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