Codimension one minimizers of highly amphiphilic mixtures
نویسندگان
چکیده
We present a modified form of the Functionalized Cahn–Hilliard (FCH) functional which models highly amphiphilic systems in solvent. A molecule is if energy isolated within bulk solvent prohibitively high. For such once molecules assemble into structure it very rare for to exchange back bulk. The FCH has well with limited smoothness and admits compactly supported critical points. In limit molecular length ? ? 0 we consider sequences bounded whose support resides an -neighborhood fixed codimension one interface. show that uniformly from below, independent > , identify assumptions on tangential variation guarantee existence subsequences converge weak solution rescaled bilayer profile equation, enjoy lim inf inequality. interfaces construct others larger do not but limiting can violate inequality, depending upon parameters.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2021
ISSN: ['0377-0427', '1879-1778', '0771-050X']
DOI: https://doi.org/10.1016/j.cam.2020.113320