4 papers
Bubble classification of immersions at the boundary of the moduli space with Willmore energy
Christian Scharrer, Manuel Schlierf, Alexander West
We study the asymptotic bubbling behavior of sequences of weak genus- immersions with diverging conformal classes and limiting Willmore energy of . After applying suitable…
Stability of the free boundary Willmore problem
Anna Dall'Acqua, Fabian Rupp, Reiner Schätzle +1
We study the Willmore problem with free boundary by means of a new Åojasiewicz-Simon gradient inequality for functionals on infinite dimensional manifolds. In contrast to previous…
The length-preserving elastic flow with free boundary on hypersurfaces in
Anna Dall'Acqua, Manuel Schlierf
We study the length-preserving elastic flow of curves in arbitrary codimension with free boundary on hypersurfaces. This constrained gradient flow is given by a nonlocal evolution…
Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities
Anna Dall'Acqua, Marius Müller, Fabian Rupp +1
This work studies Willmore flows of tori and their singularities via a dimension reduction approach. We introduce a Willmore flow that preserves the degenerate constraint of prescr…