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math.AP2020★ 6 cited
Existence and convergence of the length-preserving elastic flow of clamped curves
Fabian Rupp, Adrian Spener
We study the evolution of curves with fixed length and clamped boundary conditions moving by the negative -gradient flow of the elastic energy. For any initial curve lying mer…
math.AP2020★ 13 cited
The Willmore Flow of Tori of Revolution
Anna Dall'Acqua, Marius Müller, Reiner Schätzle +1
We study long-time existence and asymptotic behavior for the -gradient flow of the Willmore energy, under the condition that the initial datum is a torus of revolution. We sho…