4 papers
Existence and convergence of the area-constrained elastic flow
Florian Hauser, Christian Scharrer, Alexander West
We study the evolution of plane closed curves with fixed area moving by the negative -gradient of their elastic energy. For smooth initial data, we establish local and global…
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 M…
Energy quantization for constrained Willmore surfaces
Christian Scharrer, Alexander West
We establish an energy quantization for constrained Willmore surfaces, where the constraints are given by area, volume, and total mean curvature, assuming that the underlying confo…
On the minimization of the Willmore energy under a constraint on total mean curvature and area
Christian Scharrer, Alexander West
Motivated by a model for lipid bilayer cell membranes, we study the minimization of the Willmore functional in the class of oriented closed surfaces with prescribed total mean curv…