{"id":"https://openalex.org/W2187587531","doi":"https://doi.org/10.1137/15m1039250","title":"Front Propagation at the Nematic-Isotropic Transition Temperature","display_name":"Front Propagation at the Nematic-Isotropic Transition Temperature","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2187587531","doi":"https://doi.org/10.1137/15m1039250","mag":"2187587531"},"language":"en","primary_location":{"id":"doi:10.1137/15m1039250","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1039250","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5015153175","display_name":"Apala Majumdar","orcid":"https://orcid.org/0000-0003-4802-6720"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Apala Majumdar","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035861091","display_name":"Paul A. Milewski","orcid":"https://orcid.org/0000-0003-4454-8441"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Paul A. Milewski","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110285294","display_name":"Amy Spicer","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Amy Spicer","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015153175"],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":null,"apc_paid":null,"fwci":1.0048,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.75010153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"76","issue":"4","first_page":"1296","last_page":"1320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"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/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.8083711266517639},{"id":"https://openalex.org/keywords/liquid-crystal","display_name":"Liquid crystal","score":0.8010720014572144},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6052039861679077},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.593632698059082},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5798786282539368},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.49188852310180664},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.488768070936203},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.4378131628036499},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43070918321609497},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3394494652748108},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28765878081321716},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24588558077812195},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2094871997833252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19878968596458435},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09548890590667725}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.8083711266517639},{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.8010720014572144},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6052039861679077},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.593632698059082},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5798786282539368},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.49188852310180664},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.488768070936203},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4378131628036499},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43070918321609497},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3394494652748108},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28765878081321716},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24588558077812195},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2094871997833252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19878968596458435},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09548890590667725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/15m1039250","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1039250","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/e0cde141-e785-41a8-b13d-f459cdb45591","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/e0cde141-e785-41a8-b13d-f459cdb45591","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Majumdar, A, Milewski, P A & Spicer, A 2016, 'Front propagation at the nematic-isotropic transition temperature', SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 76, no. 4, pp. 1296-1320. https://doi.org/10.1137/15M1039250","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:strathprints.strath.ac.uk:70933","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/690863.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:opus.bath.ac.uk:51632","is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/51632/1/15M1039250.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/a8ee5639-4e79-4298-806c-7eada520cf62","is_oa":false,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/a8ee5639-4e79-4298-806c-7eada520cf62","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1361938442","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1934935867","display_name":null,"funder_award_id":"Engineering and Physical Sciences R","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4430005721","display_name":"The Mathematics of Liquid Crystals - Analysis, Computation and Applications","funder_award_id":"EP/J001686/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4861332082","display_name":"The Mathematics of Liquid Crystals - Analysis, Computation and Applications","funder_award_id":"EP/J001686/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6482035278","display_name":null,"funder_award_id":"EP/J001686/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8480216255","display_name":null,"funder_award_id":"EP/J001023/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G997693034","display_name":null,"funder_award_id":"EP/J001686/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1480211203","https://openalex.org/W1485487609","https://openalex.org/W1518472176","https://openalex.org/W1600845614","https://openalex.org/W1757324672","https://openalex.org/W1877525712","https://openalex.org/W1968314079","https://openalex.org/W1974654032","https://openalex.org/W1991580706","https://openalex.org/W1998454639","https://openalex.org/W2020102793","https://openalex.org/W2033793393","https://openalex.org/W2036193687","https://openalex.org/W2039770620","https://openalex.org/W2042676270","https://openalex.org/W2045122154","https://openalex.org/W2050651940","https://openalex.org/W2052149891","https://openalex.org/W2059573582","https://openalex.org/W2066196783","https://openalex.org/W2066875242","https://openalex.org/W2075085615","https://openalex.org/W2075104052","https://openalex.org/W2080305493","https://openalex.org/W2087219483","https://openalex.org/W2093626071","https://openalex.org/W2117515868","https://openalex.org/W2130872685","https://openalex.org/W2156133080","https://openalex.org/W2326163226","https://openalex.org/W2963613067","https://openalex.org/W2995213727","https://openalex.org/W3104761615","https://openalex.org/W3105859499","https://openalex.org/W4298401591"],"related_works":["https://openalex.org/W2096884461","https://openalex.org/W1976166556","https://openalex.org/W2017449597","https://openalex.org/W1995139061","https://openalex.org/W2034167671","https://openalex.org/W2006825928","https://openalex.org/W2065245103","https://openalex.org/W1987324245","https://openalex.org/W1993906166","https://openalex.org/W2063295111"],"abstract_inverted_index":{"We":[0,24],"study":[1,25],"the":[2,7,17,26,48,123,161,171],"gradient":[3],"flow":[4],"model":[5,28],"for":[6,12,79,111],"Landau--de":[8,162],"Gennes":[9,163],"energy":[10,164],"functional":[11],"nematic":[13],"liquid":[14],"crystals":[15],"at":[16],"nematic-isotropic":[18,71],"transition":[19],"temperature":[20],"on":[21,29,34],"prototype":[22],"geometries.":[23],"dynamic":[27,66],"a":[30,35,51,57,69,83,87,140],"three-dimensional":[31],"droplet":[32,52],"and":[33,41,91,95,97,134],"disc":[36],"with":[37,53,68,107,131],"Dirichlet":[38,99],"boundary":[39,55,100,127,132],"conditions":[40,64,104,117,128],"different":[42],"types":[43],"of":[44,50,60,160,177],"initial":[45,63,93,103,116],"conditions.":[46,101],"In":[47],"case":[49],"radial":[54],"conditions,":[56,94],"large":[58],"class":[59],"physically":[61],"relevant":[62],"generate":[65,105,118,129],"solutions":[67,106,119,130,136],"well-defined":[70],"interface":[72],"which":[73,120],"propagates":[74],"according":[75],"to":[76],"mean":[77],"curvature":[78],"small":[80],"times.":[81],"On":[82],"disc,":[84],"we":[85],"make":[86],"distinction":[88],"between":[89],"\u201cplanar\u201d":[90],"\u201cnonplanar\u201d":[92],"\u201cminimal\u201d":[96],"\u201cnonminimal\u201d":[98],"Planar":[102],"an":[108,146],"isotropic":[109,150],"core":[110],"all":[112],"times,":[113],"whereas":[114],"nonplanar":[115],"escape":[121],"into":[122],"third":[124],"dimension.":[125],"Nonminimal":[126],"layers,":[133],"these":[135],"can":[137],"either":[138],"have":[139,166],"largely":[141],"ordered":[142],"interior":[143,151],"profile":[144],"or":[145],"almost":[147],"entirely":[148],"disordered":[149],"profile.":[152],"Our":[153],"examples":[154],"suggest":[155],"that":[156],"while":[157],"critical":[158],"points":[159],"typically":[165],"highly":[167],"localized":[168],"disordered-ordered":[169],"interfaces,":[170],"transient":[172],"dynamics":[173],"exhibits":[174],"observable":[175],"interfaces":[176],"potential":[178],"experimental":[179],"relevance.":[180]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}