6 citations · 9 across the 3 of their papers we have counts for
6 papers
Elastic BB knots are multifold circles
Philipp Reiter, Heiko von der Mosel
We study elastic knots obtained by minimizing the bending energy of a unit loop together with a small multiple of ropelength. We assume a generalized Fáry-Milnor inequality on the…
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}…
Symmetric elastic knots
Alexandra Gilsbach, Philipp Reiter, Heiko von der Mosel
Minimizing the bending energy within knot classes leads to the concept of elastic knots which has been initiated in [von der Mosel, Asymptot. Anal. 1998]. Motivated by numerical ex…
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…
Singular Support of Minimizers of the Causal Variational Principle on the Sphere
Lucia Bäuml, Felix Finster, Daniela Schiefeneder +1
The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case , the support of every minimizing measur…
Symmetric critical knots for O'Hara's energies
Alexandra Gilsbach, Heiko von der Mosel
We prove the existence of symmetric critical torus knots for O'Hara's knot energy family , using Palais' classic principle of symmetric criticality. It turns out…