3 papers
math.AP2025
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…
math.AP2024
Introducing spontaneous curvature to the Helfrich flow: Singularities and convergence
Manuel Schlierf
While there are various results on the long-time behavior of the Willmore flow, the Helfrich flow with non-zero spontaneous curvature as its natural generalization is not yet well-…
math.AP2024
Global existence for the Willmore flow with boundary via Simon's Li-Yau inequality
Manuel Schlierf
It is well-known that the Willmore flow of closed spherical immersions exists globally in time and converges if the initial datum has Willmore energy below - exactly the Li-Ya…