Timothy J. Healey előadása

Az Építészmérnöki Kar Jövő Alapjának támogatásával Budapesten tartózkodó Timothy J. Healey, az Cornell Egyetem matematika professzora tart előadást tanszékünkön április 25-én, kedden, 14:00 órai kezdettel a K354/A teremben.

Az angol nyelvű előadás címe és rövid kivonata:

Global symmetry-breaking bifurcation in a model for 2-phase lipid-bilayer vesicles - analysis and computation.

We study a model for lipid-bilayer membrane vesicles exhibiting phase separation, incorporating a phase field together with membrane fluidity and bending elasticity. We prove the existence of a plethora of equilibria in the large, corresponding to symmetry-breaking solutions of the Euler-Lagrange equations. We also numerically compute a special class of such solutions, namely those possessing icosahedral symmetry.  We overcome several difficulties along the way.  Due to inherent surface fluidity combined with finite curvature elasticity, neither the Eulerian (spatial) nor the Lagrangian (material) description of the model lends itself well to analysis. This is resolved via a singularity-free radial-map description, which  effectively eliminates the grossly under-determined mid-plane deformation. We then use well known group-theoretic selection techniques combined with global bifurcation methods to obtain our results.

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