2 papers
math.AP2025
Embeddedness and graphicality of the elastic flow for complete curves
Tatsuya Miura, Fabian Rupp
We study positivity-preserving properties for the elastic flow of non-compact, complete curves in Euclidean space. Despite the fact that the canonical elastic energy is infinite in…
math.AP2025
A new energy method for shortening and straightening complete curves
Tatsuya Miura, Fabian Rupp
We introduce a novel energy method that reinterprets ``curve shortening'' as ``tangent aligning''. This conceptual shift enables the variational study of infinite-length curves evo…