dc.contributor.author | Julin, Vesa | |
dc.contributor.author | Pisante, Giovanni | |
dc.date.accessioned | 2017-08-07T07:55:59Z | |
dc.date.available | 2017-08-07T07:55:59Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Julin, V., & Pisante, G. (2017). Minimality via second variation for microphase separation of diblock copolymer melts. <i>Journal für die reine und angewandte Mathematik</i>, <i>2017</i>(729), 81-117. <a href="https://doi.org/10.1515/crelle-2014-0117" target="_blank">https://doi.org/10.1515/crelle-2014-0117</a> | |
dc.identifier.other | CONVID_26285671 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/54998 | |
dc.description.abstract | We consider a non-local isoperimetric problem arising as the sharp interface
limit of the Ohta–Kawasaki free energy introduced to model microphase separation of
diblock copolymers. We perform a second order variational analysis that allows us to provide
a quantitative second order minimality condition. We show that critical configurations with positive
second variation are indeed strict local minimizers of the problem. Moreover, we provide,
via a suitable quantitative inequality of isoperimetric type, an estimate of the deviation from
minimality for configurations close to the minimum in the L1
-topology. | |
dc.language.iso | eng | |
dc.publisher | Walter de Gruyter GmbH & Co. KG | |
dc.relation.ispartofseries | Journal für die reine und angewandte Mathematik | |
dc.subject.other | interfacial problems | |
dc.subject.other | isoperimetric problems | |
dc.subject.other | copolymers | |
dc.title | Minimality via second variation for microphase separation of diblock copolymer melts | |
dc.type | research article | |
dc.identifier.urn | URN:NBN:fi:jyu-201708043416 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2017-08-04T09:15:11Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 81-117 | |
dc.relation.issn | 0075-4102 | |
dc.relation.numberinseries | 729 | |
dc.relation.volume | 2017 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © De Gruyter 2017. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | article | |
dc.relation.doi | 10.1515/crelle-2014-0117 | |
dc.type.okm | A1 | |