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| Functionalized energies, such as the Functionalized Cahn-Hilliard, model phase separation in amphiphilic systems, in which interface production is energetically favorable, but is limited by competition for the surfactant phase, which wets the interface. This is in contrast to classical phase-separating energies, such as the Cahn-Hilliard, in which interfacial area is energetically penalized. In binary amphiphilic mixtures interfaces are characterized by bilayers, which divide the domain of the dominant phase, $A$, via thin layers of phase $B$ formed by homoclinic connections. We discuss the stability and evolution of bilayer interfaces, including the onset of pearling bifurcations which lead to development of pore dominated network morphologies. |
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