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- W2023712420 abstract "We derive the curvature driven flow of closed-loop pore structures which arise in quasi-stationary states in the $H^{-1}$ gradient flow of the weakly functionalized Cahn--Hilliard free energy which models amphiphilic mixtures. We extend this result to a sharp-interface reduction for the competitive evolution of disjoint collections of bilayer interfaces and closed-loop pores. In particular, for a mixture of spherical bilayers and circular closed pores we explicitly identify two regimes: one in which spherical bilayers extinguish and the circular pores arrive at a common radius, and a complimentary regime in which spherical bilayers of differing radii stably coexist with common-radius, closed-loop, circular pores." @default.
- W2023712420 created "2016-06-24" @default.
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- W2023712420 date "2015-01-01" @default.
- W2023712420 modified "2023-10-15" @default.
- W2023712420 title "Competitive Geometric Evolution of Amphiphilic Interfaces" @default.
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- W2023712420 doi "https://doi.org/10.1137/130941432" @default.
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