Existence, bifurcation, and geometric evolution of quasi-bilayers in the multicomponent functionalized Cahn-Hilliard equation

DOI10.1007/s00285-016-1089-yzbMath1381.92019arXiv1510.08467OpenAlexW2963779250WikidataQ48025374 ScholiaQ48025374MaRDI QIDQ2408045

Qiliang Wu, Keith Promislow

Publication date: 9 October 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08467

zbMATH Keywords

Canham-Helfrich energyfunctionalized Cahn-Hilliard energybilliard limitmulti-component bilayer

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Biochemistry, molecular biology (92C40) Cell biology (92C37) Surfaces in Euclidean and related spaces (53A05) Pattern formations in context of PDEs (35B36)

Related Items (6)

A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ Robust stability of multicomponent membranes: the role of glycolipids ⋮ On a Class of Sixth-Order Cahn--Hilliard-Type Equations with Logarithmic Potential ⋮ Competition and complexity in amphiphilic polymer morphology ⋮ Weak solutions for the functionalized Cahn–Hilliard equation with degenerate mobility ⋮ Well-posedness of a hydrodynamic phase-field system for functionalized membrane-fluid interaction

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