Variational models for biomembranes: confined elastic structuresOberseminar Analysis

by Prof. Matthias Roeger (TU Dortmund)

Thursday Jan 29, 2026, 2:15 PM → 4:15 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Biomembranes form the outer boundary of cells and define distinct internal compartments. Curvature energies of Canham-Helfrich type play a central role in understanding membrane mechanics and present intriguing challenges for mathematical analysis. In this talk we present joint work with Fabian Rupp (Vienna) on the minimization of a reduced Canham-Helfrich energy among closed surfaces confined within a prescribed container. We establish an existence result in a class of immersed bubble trees, derive the corresponding Euler–Lagrange equation, and investigate regularity properties of minimizers.