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March 3 Special Math Colloquium in MBK 112

Keith Promislow, Michigan State University

Geometric Evolution and Bifurcation in Multicomponent Amphiphilic blends

We present a free energy model for multicomponent blends of lipid bilayers that describes. The associated gradient flows admit dynamic competition between network morphologies of distinct co-dimension, and permits competitive geometric evolution for co-dimension 1 bilayers and co-dimension two pore morphologies. We present an analysis of the associated spectral problems, and present rigorous existence results for pearled morphologies and for the curvature driven flow of the supporting interfaces.

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