most citedA speed preserving Hilbert gradient flow for generalized integral Menger curvature

6 citations · 9 across the 2 of their papers we have counts for

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2 papers

math.CA2022★ 3 cited

Banach gradient flows for various families of knot energies

Hannes Matt, Daniel Steenebrügge, Heiko von der Mosel

We establish long-time existence of Banach gradient flows for generalised integral Menger curvatures and tangent-point energies, and for O'Hara's self-repulsive potentials $E^{α,p}…

math.CA2021★ 6 cited

A speed preserving Hilbert gradient flow for generalized integral Menger curvature

Jan Knappmann, Henrik Schumacher, Daniel Steenebrügge +1

We establish long-time existence for a projected Sobolev gradient flow of generalized integral Menger curvature in the Hilbert case, and provide -bounds in time for the so…