Mathematical analysis of a mesoscale model for multiphase membranes

DOI10.1002/GAMM.202470009MaRDI QIDQ6664958

Matthias Röger, Jakob Fuchs

Publication date: 16 January 2025

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

zbMATH Keywords

phase separationbiomembranesvariational modelingbending energy\(\Gamma\)-convergence-convergence

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49Jxx) Physiological, cellular and medical topics (92Cxx) Manifolds and measure-geometric topics (49Qxx)

Cites Work

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• Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
• Kinks in two-phase lipid bilayer membranes
• Variational analysis of a mesoscale model for bilayer membranes
• Partial localization, lipid bilayers, and the elastica functional
• The gradient theory of phase transitions and the minimal interface criterion
• Existence of varifold minimizers for the multiphase Canham-Helfrich functional
• A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit
• A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory
• Microphysical derivation of the Canham-Helfrich free-energy density
• CONVERGENCE OF AN APPROXIMATION FOR ROTATIONALLY SYMMETRIC TWO-PHASE LIPID BILAYER MEMBRANES
• Global minimizers for axisymmetric multiphase membranes
• Gamma convergence of a family of surface-director bending energies with small tilt
• Phase separation on varying surfaces and convergence of diffuse interface approximations

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