{"id":"https://openalex.org/W2112771763","doi":"https://doi.org/10.1137/13092705x","title":"Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn--Hilliard Equation","display_name":"Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn--Hilliard Equation","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2112771763","doi":"https://doi.org/10.1137/13092705x","mag":"2112771763"},"language":"en","primary_location":{"id":"doi:10.1137/13092705x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/13092705x","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010016067","display_name":"Arjen Doelman","orcid":"https://orcid.org/0000-0003-4369-4172"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Arjen Doelman","raw_affiliation_strings":["Leiden University"],"affiliations":[{"raw_affiliation_string":"Leiden University","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036347049","display_name":"Gurgen Hayrapetyan","orcid":"https://orcid.org/0000-0002-7320-4974"},"institutions":[{"id":"https://openalex.org/I4210106879","display_name":"Ohio University","ror":"https://ror.org/01jr3y717","country_code":"US","type":"education","lineage":["https://openalex.org/I4210106879"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gurgen Hayrapetyan","raw_affiliation_strings":["Ohio University"],"affiliations":[{"raw_affiliation_string":"Ohio University","institution_ids":["https://openalex.org/I4210106879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024694851","display_name":"Keith Promislow","orcid":"https://orcid.org/0000-0002-8198-6208"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Keith Promislow","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091102145","display_name":"Brian Wetton","orcid":"https://orcid.org/0000-0002-6808-6301"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Brian Wetton","raw_affiliation_strings":["University of British Columbia"],"affiliations":[{"raw_affiliation_string":"University of British Columbia","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010016067"],"corresponding_institution_ids":["https://openalex.org/I121797337"],"apc_list":null,"apc_paid":null,"fwci":1.6718,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.83971418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"46","issue":"6","first_page":"3640","last_page":"3677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11915","display_name":"Pickering emulsions and particle stabilization","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11915","display_name":"Pickering emulsions and particle stabilization","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6409186124801636},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.608548641204834},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5895945429801941},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.44655951857566833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4437214136123657},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.44227561354637146},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.4233455955982208},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.41135331988334656},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20149677991867065},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.12359040975570679}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6409186124801636},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.608548641204834},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5895945429801941},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.44655951857566833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4437214136123657},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.44227561354637146},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.4233455955982208},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.41135331988334656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20149677991867065},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.12359040975570679}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/13092705x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/13092705x","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8500000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W360456325","https://openalex.org/W595164696","https://openalex.org/W1528779937","https://openalex.org/W1567771969","https://openalex.org/W1985609708","https://openalex.org/W1989095982","https://openalex.org/W1994728481","https://openalex.org/W2011556506","https://openalex.org/W2015176992","https://openalex.org/W2023712420","https://openalex.org/W2024425829","https://openalex.org/W2029177929","https://openalex.org/W2032231305","https://openalex.org/W2041897603","https://openalex.org/W2060660579","https://openalex.org/W2062546043","https://openalex.org/W2081633643","https://openalex.org/W2090568310","https://openalex.org/W2113788583","https://openalex.org/W2143167829","https://openalex.org/W2329437755","https://openalex.org/W3173263824"],"related_works":["https://openalex.org/W1965043874","https://openalex.org/W1577606234","https://openalex.org/W88265998","https://openalex.org/W1916844891","https://openalex.org/W25827740","https://openalex.org/W25683132","https://openalex.org/W2024465860","https://openalex.org/W4385434652","https://openalex.org/W2022152024","https://openalex.org/W4382752386"],"abstract_inverted_index":{"The":[0,62],"functionalized":[1],"Cahn--Hilliard":[2],"(FCH)":[3],"free":[4],"energy":[5,8,106],"models":[6],"interfacial":[7],"in":[9,46,71],"amphiphilic":[10],"phase":[11],"separated":[12],"mixtures.":[13],"Its":[14],"minimizers":[15],"encompass":[16],"a":[17,51,72,75,81,108],"rich":[18],"class":[19],"of":[20,41,53,68,74,93,99,103,110,114,117],"morphologies":[21],"with":[22],"detailed":[23],"inner":[24],"structure,":[25],"including":[26],"bilayers,":[27],"pore":[28],"networks,":[29],"pearled":[30],"pores,":[31],"and":[32,38,96],"micelles.":[33],"We":[34],"address":[35],"the":[36,58,66,86,91,94,100,104,115],"existence":[37,63],"linear":[39,87],"stability":[40,88],"$\\alpha$-single":[42],"curvature":[43],"bilayer":[44],"structures":[45],"$d\\geq2$":[47],"space":[48],"dimensions":[49],"for":[50],"family":[52,109],"gradient":[54,119],"flows":[55],"associated":[56],"to":[57,90],"strong":[59],"functionalization":[60],"scaling.":[61],"problem":[64],"requires":[65],"construction":[67],"homoclinic":[69],"solutions":[70],"perturbation":[73],"fourth-order":[76],"integrable":[77],"Hamiltonian":[78],"system,":[79],"while":[80],"negative":[82],"index":[83],"argument":[84],"reduces":[85],"analysis":[89],"characterization":[92],"meander":[95],"pearling":[97],"modes":[98],"second":[101],"variation":[102],"FCH":[105],"on":[107],"invariant":[111],"subspaces,":[112],"independent":[113],"choice":[116],"mass-preserving":[118],"flow.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-01T08:55:55.761014","created_date":"2025-10-10T00:00:00"}