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Phase Separation on Varying Surfaces and Convergence of Diffuse Interface Approximations

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Tuesday, 18 June 2024 14:30 - 15:30

Venue: Matthias Röger - Aula Buzano (DISMA Politecnico di Torino)

This work is motivated by Jülicher-Lipowsky type variational models for phase separated biomembranes, where a curvature energy for the overall shape is coupled to a line tension energy for the phase interfaces. We considers diffuse approximations where the line tension contribution is replaced by a Modica–Mortola type energy. Our approach uses the concept of BV functions over rectifiable currents introduced by Anzellotti, Delladio and Scianna [Annali di Matematica Pura ed Applicata, 1996]. (This is joint work with Heiner Olbermann, UC Louvain)

 

Speaker
Matthias Röger
Affiliation
TU Dortmund
Room
Aula Buzano
Proposed by
Luca Lussardi and Marco Morandotti

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