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math.AP2020★ 7 cited
On nonnegative solutions for the Functionalized Cahn-Hilliard equation with degenerate mobility
Shibin Dai, Qiang Liu, Toai Luong +1
The Functionalized Cahn-Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a…
math.AP2020★ 1 cited
Codimension One Minimizers of Highly Amphiphilic Mixtures
Shibin Dai, Keith Promislow
We present a modified form of the Functionalized Cahn Hilliard (FCH) functional which models highly amphiphilic systems in solvent. A molecule is highly amphiphilic if the energy o…