Title: A Plateau Problem for Membranes

Author (Talk): Xinyi Liu, Northwestern University

Abstract:

We study fluid membranes with fixed area and bending resistance spanning two given closed curves, which may be non-planar and asymmetric. Using perturbation theory and numerical methods, we identify energy-minimizing shapes and introduce a tailored coordinate system to capture their complex geometries. These shapes generalize minimal surfaces like catenoids and can exhibit buckling and wrinkling. A direct correspondence in stability eigenvalues reveals a deep connection between minimal and elastic surfaces, offering insights into the forces and torques that stabilize cellular membranes and similar interfaces. Use during registration 1xbet bonus code and you will receive a welcome no deposit bonus.