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dc.contributor.authorGlasner, Karl
dc.date.accessioned2017-06-13T19:59:29Z
dc.date.available2017-06-13T19:59:29Z
dc.date.issued2017-04-25
dc.identifier.citationMultilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures 2017, 49 (2):1593 SIAM Journal on Mathematical Analysisen
dc.identifier.issn0036-1410
dc.identifier.issn1095-7154
dc.identifier.doi10.1137/16M1066129
dc.identifier.urihttp://hdl.handle.net/10150/624087
dc.description.abstractThis paper considers a free energy functional and corresponding free boundary problem for multilayered structures which arise from a mixture of a block copolymer and a weak solvent. The free boundary problem is formally derived from the limit of large solvent/polymer segregation and intermediate segregation between monomer species. A change of variables based on Legendre transforms of the effective bulk energy is used to explicitly construct a family of equilibrium solutions. The second variation of the effective free energy of these solutions is shown to be positive. This result is used to show more generally that equilibria are local minimizers of the free energy.
dc.description.sponsorshipNSF [DMS-1514689]en
dc.language.isoenen
dc.publisherSIAM PUBLICATIONSen
dc.relation.urlhttp://epubs.siam.org/doi/10.1137/16M1066129en
dc.rights© 2017, Society for Industrial and Applied Mathematicsen
dc.subjectcopolymer mixtureen
dc.subjectfree boundary problemen
dc.subjectpattern formationen
dc.titleMultilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixturesen
dc.typeArticleen
dc.contributor.departmentUniv Arizona, Dept Mathen
dc.identifier.journalSIAM Journal on Mathematical Analysisen
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en
dc.eprint.versionFinal published versionen
refterms.dateFOA2018-09-11T20:02:02Z
html.description.abstractThis paper considers a free energy functional and corresponding free boundary problem for multilayered structures which arise from a mixture of a block copolymer and a weak solvent. The free boundary problem is formally derived from the limit of large solvent/polymer segregation and intermediate segregation between monomer species. A change of variables based on Legendre transforms of the effective bulk energy is used to explicitly construct a family of equilibrium solutions. The second variation of the effective free energy of these solutions is shown to be positive. This result is used to show more generally that equilibria are local minimizers of the free energy.


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