Banach gradient flows for various families of knot energies

DOI10.1007/s00028-022-00863-xzbMath1520.53088arXiv2204.13603OpenAlexW4364377711MaRDI QIDQ6042114

Heiko von der Mosel, Daniel Steenebrügge, Hannes Matt

Publication date: 16 May 2023

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.13603

zbMATH Keywords

gradient flowMenger curvatureknot energyminimising movementtangent-point energyO'Hara's potentials

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04) Geometric evolution equations (53E99) Knot theory (57K10)

Related Items (1)

Tangent-point energies and ropelength as gamma-limits of discrete tangent-point energies on biarc curves

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