PDE Seminar Approximation of the Helfrich's functional via Diffuse Interfaces

2007-11-08 16:30 - 2007-11-08 17:30
Faculty of Science Building #8 Room 309
Luca Mugnai (Max Planck Institute for Mathematics in the Sciences)
The Helfrich functional is a surface bending-energy forclosedbiological membranes repesented by a smooth boundaryless surface.Minimizers of the Helfrich functional are expected to describe theequilibrium shapes of such membranes. In my talk I will propose aphase-field approximation of the Helfrich functional, and give arigouros proof of the convergence of such approximation.