3 citations · 3 across the 4 of their papers we have counts for
4 papers
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 Łojasiewicz-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…
A dynamic approach to heterogeneous elastic wires
Anna Dall'Acqua, Leonie Langer, Fabian Rupp
We consider closed planar curves with fixed length and arbitrary winding number whose elastic energy depends on an additional density variable and a spontaneous curvature. Working…