Soliton-stripe patterns in charged Langmuir monolayers
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AbstractWe consider a charged Langmuir monolayer problem where electrostatic interaction forces undulations in the molecular concentration of the monolayer. Using the Gamma-convergence theory in singular perturbative variational calculus, we prove the existence of soliton-stripe lamellar patterns as one-dimensional local minimizers of the free energy, which are characterized by sharp domain walls delineating fully segregated dense liquid and dilute gas regions of the monolayer.
All Author(s) ListRen X, We J
Journal nameJournal of Nonlinear Science
Year2003
Month12
Day1
Volume Number13
Issue Number6
PublisherSPRINGER-VERLAG
Pages603 - 624
ISSN0938-8974
LanguagesEnglish-United Kingdom
Keywordscharged Langmuir monolayer; electrostatic interaction; Gamma-convergence; local minimizer; soliton-stripe pattern
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED; Mechanics; MECHANICS; Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL

Last updated on 2020-27-10 at 01:42