260 citations · 677 across the 25 of their papers we have counts for
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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…
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…
Manifolds of Amphiphilic Bilayers: Stability up to the Boundary
Yuan Chen, Keith Promislow
We consider the mass preserving -gradient flow of the strong scaling of the functionalized Cahn Hilliard gradient flow and establish the nonlinear stability of a manifold comp…
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow
Andrew Christlieb, Keith Promislow, Zengqiang Tan +3
Reductions of the self-consistent mean field theory model of amphiphilic molecules in solvent can lead to a singular family of functionalized Cahn-Hilliard energies. We modify thes…
Gradient Invariance of Slow Energy Descent: Spectral Renormalization and Energy Landscape Techniques
Hayriye Guckir Cakir, Keith Promislow
For gradient flows of energies, both spectral renormalization (SRN) and energy landscape (EL) techniques have been used to establish slow motion of orbits near low-energy manifold.…