An Overview of network bifurcations in the functionalized Cahn-Hilliard free energy

Noa Kraitzman, Keith Promislow

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

Abstract

The functionalized Cahn-Hilliard (FCH) free energy models interfacial energy in amphiphilic phase-separated mixtures. Its minimizers and quasi-minimizers encompass rich classes of network morphologies with detailed inner layers incorporating bilayers, pore, pearled pore, and micelle type structures. We present an overview of the stability of the network morphologies as well as the competitive evolution of bilayer and pore morphologies under a gradient flow in three space-dimensions.
Original languageEnglish
Title of host publicationMathematics of energy and climate change
Subtitle of host publicationInternational Conference and Advanced School Planet Earth, Portugal, March 21–28, 2013
EditorsJean-Pierre Bourguignon, Rolf Jeltsch, Albert Adrego Pinto, Marcelo Viana
Place of PublicationCham
PublisherSpringer, Springer Nature
Pages191-214
Number of pages24
ISBN (Electronic)9783319161211
ISBN (Print)9783319161204
DOIs
Publication statusPublished - 2015
Externally publishedYes
EventInternational Conference and Advanced School Planet Earth - Porto, Portugal
Duration: 21 Mar 201328 Mar 2013

Publication series

Name CIM series in mathematical sciences
Volume2
ISSN (Print)2364-950X
ISSN (Electronic)2364-9518

Conference

ConferenceInternational Conference and Advanced School Planet Earth
Country/TerritoryPortugal
CityPorto
Period21/03/1328/03/13

Keywords

  • Atom Transfer Radical Polymerization
  • Gradient Flow
  • Amphiphilic Molecule
  • Mass Constraint
  • Network Morphology

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