most citedCodimension One Minimizers of Highly Amphiphilic Mixtures

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.AP2020

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…

math.AP2020

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.…