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Universität Augsburg
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Dr. Janusz Ginster
Weierstrass Institut
spricht am
Donnerstag, 26. Juni 2025
um
15:00 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: |
Biological membranes are thin structures that are composed of various components. The different components often form microdomains, called lipid rafts, that are arranged in complex patterns. To explain this pattern formation, variational models based on Cahn-Hilliard type energies have been introduced that couple the local composition of the membrane to its local curvature, which renders the resulting functionals nonlocal. Based on these models, we will study the formation of patterns in terms of a scaling law for the minimal energy. New nonlinear interpolation inequalities will be presented as a key tool to prove lower bounds. In addition, we will study the limiting behavior in certain parameter regimes further by means of Gamma-convergence. Joint work with A. Pesic and B. Zwicknagl. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Lisa Beck |