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math.AP2026
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…
math.AP2024
Gradient flow dynamics for cell membranes in the Canham-Helfrich model
Fabian Rupp, Christian Scharrer, Manuel Schlierf
The energetically most efficient way how a deformed red blood cell regains equilibrium is mathematically described by the gradient flow of the Canham-Helfrich functional, including…