A review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditions

DOI10.3934/era.2022143OpenAlexW4200633650MaRDI QIDQ2697173

Yanyan Li

Publication date: 18 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13812

zbMATH Keywords

well-posednessCahn-Hilliard equationlong-time behaviorphase separationdynamic boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Quasilinear parabolic equations (35K59)

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Biharmonic Fick-Jacobs diffusion in narrow channels ⋮ A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ Two-phase flows with bulk-surface interaction: thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with dynamic boundary conditions

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