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math.AP2021★ 2 cited
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…
math.AP2021★ 1 cited
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…
math.AP2021
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…