Gandalf (Pure Maths Student Seminar): Willmore's Energy: Topological Constraints and Diffuse Interfaces
28 October 2015 16:00 in CM221
In 1965, Tom Willmore (Durham) first considered a curvature energy for immersed surfaces in R^3 which would become widely studied in differential geometry and the modelling of liquid membranes. I will briefly discuss Willmore's energy, an application in biology, and a diffuse interface approach to the minimisation problem. The diffuse model has computational advantages, but makes control of the topology of surfaces more involved. In the last part of the talk, I will indicate how we managed to prescribe connectedness for a limiting problem along with some computational evidence. This talk is based on joint work with Patrick Dondl and Antoine Lemenant.
Gandalf is the pure maths student seminar. Gandalf stands for the Geometry AND ALgebra Forum. It is run by and for pure postgraduates, but welcomes anyone who is interested in coming along.
Content from previous talks is available at the gandalf seminar home page.