Existence of weak solutions for a sharp interface model for phase separation on biological membranes

DOI10.3934/DCDSS.2020325zbMath1458.35487OpenAlexW3016535670MaRDI QIDQ1995418

Helmut Abels, Johannes Kampmann

Publication date: 23 February 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020325

zbMATH Keywords

implicit time discretizationfree boundary value problemPDE on surfaceslipid raftsMullins-Sekerka equation

Mathematics Subject Classification ID

Cell biology (92C37) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (1)

Well-posedness and long-time behavior of a bulk-surface coupled Cahn-Hilliard-diffusion system with singular potential for lipid raft formation

Cites Work

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• A coupled surface-Cahn–Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
• Sets of Finite Perimeter and Geometric Variational Problems
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature

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