Models for phase separation and their mathematics.

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Non-Local dispersal and bistability (2006, unknown): “This model has been commonly used in the theory of phase transitions [5, 7, 8], and the numerous references therein.”
Rigorous Numerics for the Cahn-Hilliard Equation on the Unit Square (2008, background): “(4) For more details we refer the reader to Fife [8].”
Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “The total free energy (Ginzburg–Landau free energy), which we indicate with F (ρ;λ) [26, 27, 40], is expressed in the case of interest as:”
Phase-Field Models for Multi-Component Fluid Flows (2012, unknown): “flow [35]: ∂φ ∂t =−Mgrad0E(φ), (2.”
Upper Bounds on Coarsening Rates (2002, background): “The literature on Cahn-Hilliard equations, sharp-interface limits, and related topics is vast; additional information and references can be found in the review [10].”
A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions (2021, methodology): “Under this choice, the chemical potential µ , that is defined as the variational derivative of the bulk free energy E bulk with respect to ϕ , is given by where F ′ denotes the derivative of the bulk potential F with respect to ϕ (cf. [23, 25]).”