Dienstag, 12.06.2012 11:00 Uhr

Approximation of rotationally symmetric two-component bilayers

Dr. Michael Helmers, Uni Bonn

Models for two-component lipid bilayers assign an energy to a membrane that consists of an
elastic part for each component and an interface term penalising component boundaries. Phase
field approaches have been applied successfully to analyse such models, although many results
are formal or rely on strong regularity assumptions. In the talk, we consider a surface phase
field approximation of the spontaneous curvature model and study convergence to a sharp
interface limit in a rotationally symmetric setting. Particular attention is paid to the regularity of
limit membranes across component interfaces: exploring two different couplings between phase
fields and elastic terms, we obtain either the classical model or an extension that assigns a
"bending energy" also to possibly non-smooth connections.

Zeit: 11:00 Uhr

Ort: SG 11, Seminargebäude, RWTH Aachen, Wüllnerstraße 5b, 52062 Aachen