Migrating elastic flows

DOI10.1016/J.MATPUR.2024.02.003MaRDI QIDQ6499007

Tomoya Kemmochi, Tatsuya Miura

Publication date: 8 May 2024

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

long-time behaviorelasticaelastic flownatural boundary conditionHuisken's problem

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Higher-order geometric flows (53E40)

Cites Work

• Loss of convexity and embeddedness for geometric evolution equations of higher order
• A survey of the elastic flow of curves and networks
• The critical points of the elastic energy among curves pinned at endpoints
• Evolution of open elastic curves in \(\mathbb{R}^n\) subject to fixed length and natural boundary conditions
• A Li-Yau inequality for the 1-dimensional Willmore energy
• Li-Yau type inequality for curves in any codimension

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