2 citations · 3 across the 3 of their papers we have counts for
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A regularized gradient flow for the -elastic energy
Simon Blatt, Christopher Hopper, Nicole Vorderobermeier
We prove long-time existence for the negative -gradient flow of the -elastic energy, , with an additive positive multiple of the length of the curve. To achieve th…
Scale-invariant tangent-point energies for knots
Simon Blatt, Philipp Reiter, Armin Schikorra +1
We investigate minimizers and critical points for scale-invariant tangent-point energies of closed curves. We show that a) minimizing sequences in ambient isotopy…
A minimising movement scheme for the -elastic energy of curves
Simon Blatt, Nicole Vorderobermeier, Christopher Hopper
We prove short-time existence for the negative -gradient flow of the -elastic energy of curves via a minimising movement scheme. In order to account for the degeneracy caus…
On the regularity of critical points for O'Hara's knot energies: From smoothness to analyticity
Nicole Vorderobermeier
We prove the analyticity of smooth critical points for O'Hara's knot energies , with and , subject to a fixed length constraint. This implies, toge…
On the analyticity of critical points of the Möbius energy
Simon Blatt, Nicole Vorderobermeier
We prove that smooth critical points of the Möbius energy parametrized by arc-length are analytic. Together with the main result in \cite{BRS16} this implies that critical points o…