Logo

Mathematical Sciences Research Institute

Home » UCB Mathematics Department Colloquium: Stability of ground states for problems involving competing line and surface energies

Seminar

UCB Mathematics Department Colloquium: Stability of ground states for problems involving competing line and surface energies December 10, 2015 (04:00 PM PST - 05:00 PM PST)
Parent Program: --
Location: 60 Evans Hall UCB
Speaker(s) Eliot Fried
Description No Description
Video
No Video Uploaded
Abstract/Media

We will consider a variational problem that combines the challenges of designing aesthetically pleasing space curves and constructing area minimizing surfaces. The problem consists of finding energetically preferred equilibrium configurations of a system comprised by a closed, inextensible, unshearable filament with circular cross-section and rectilinear rest configuration that is endowed with elastic resistance to bending and is spanned by a liquid film endowed with uniform surface tension. Aside from presenting results from stability analyses based on the first and second variations of the salient energy functional, we will discuss generalizations that arise if the filament has a noncircular cross-section or a curvilinear rest configuration. We will also present results for the related problem of modeling shape transitions observed in experiments involving nanodiscs and discoidal high-density lipoprotein particles, where it is essential to endow the spanning film with elastic resistance to bending.

No Notes/Supplements Uploaded No Video Files Uploaded