{"id":"https://openalex.org/W2050290328","doi":"https://doi.org/10.1137/130948598","title":"Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals","display_name":"Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2050290328","doi":"https://doi.org/10.1137/130948598","mag":"2050290328"},"language":"en","primary_location":{"id":"doi:10.1137/130948598","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130948598","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1404.1724","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021994821","display_name":"Radu Ignat","orcid":null},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Radu Ignat","raw_affiliation_strings":["Univ Toulouse 3, PRES Universite de Toulouse, University of Paul Sabatier - Toulouse III, CNRS"],"affiliations":[{"raw_affiliation_string":"Univ Toulouse 3, PRES Universite de Toulouse, University of Paul Sabatier - Toulouse III, CNRS","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035181735","display_name":"Luc Nguyen","orcid":"https://orcid.org/0000-0002-1364-4433"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luc Nguyen","raw_affiliation_strings":["Princeton University#TAB#"],"affiliations":[{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017653216","display_name":"Valeriy Slastikov","orcid":"https://orcid.org/0000-0003-4550-4301"},"institutions":[{"id":"https://openalex.org/I4210166532","display_name":"Heilbronn Institute for Mathematical Research","ror":"https://ror.org/05ttdgs63","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210166532"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Valeriy Slastikov","raw_affiliation_strings":["Heilbronn Institute for Mathematical Research"],"affiliations":[{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research","institution_ids":["https://openalex.org/I4210166532"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017796624","display_name":"Arghir Zarnescu","orcid":"https://orcid.org/0000-0002-3620-6196"},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Arghir Zarnescu","raw_affiliation_strings":["University of Sussex ,"],"affiliations":[{"raw_affiliation_string":"University of Sussex ,","institution_ids":["https://openalex.org/I162608824"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021994821"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I17866349"],"apc_list":null,"apc_paid":null,"fwci":5.8872,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.96598199,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"5","first_page":"3390","last_page":"3425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.9310903549194336},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7933716773986816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7823057174682617},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6186980605125427},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6144654154777527},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5156666040420532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.502530574798584},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3917299509048462},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.38268178701400757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3453736901283264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15429261326789856},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09241214394569397}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.9310903549194336},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7933716773986816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7823057174682617},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6186980605125427},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6144654154777527},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5156666040420532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.502530574798584},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3917299509048462},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.38268178701400757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3453736901283264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15429261326789856},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09241214394569397},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/130948598","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130948598","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"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/6693321e-e247-426b-af61-2eed75aaa755","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/6693321e-e247-426b-af61-2eed75aaa755","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ignat, R, Nguyen, L, Slastikov, V & Zarnescu, A 2014, 'Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals', SIAM Journal on Mathematical Analysis, vol. 46, no. 5, pp. 3390-3423. https://doi.org/10.1137/130948598","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1404.1724","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.1724","pdf_url":"https://arxiv.org/pdf/1404.1724","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01673414v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01673414","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2014, &#x27E8;10.1137/130948598&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1404.1724","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.1724","pdf_url":"https://arxiv.org/pdf/1404.1724","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1383260184","display_name":null,"funder_award_id":"EP/I028714/1","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W7856492","https://openalex.org/W1579044188","https://openalex.org/W1973359775","https://openalex.org/W1979721010","https://openalex.org/W1982071274","https://openalex.org/W1982357817","https://openalex.org/W2008383453","https://openalex.org/W2020896229","https://openalex.org/W2023131210","https://openalex.org/W2036297569","https://openalex.org/W2040620823","https://openalex.org/W2042676270","https://openalex.org/W2048909047","https://openalex.org/W2049576478","https://openalex.org/W2055764205","https://openalex.org/W2058270372","https://openalex.org/W2075223203","https://openalex.org/W2085157350","https://openalex.org/W2086710163","https://openalex.org/W2120062331","https://openalex.org/W2130872685","https://openalex.org/W2520505046","https://openalex.org/W2592546913","https://openalex.org/W3105859499","https://openalex.org/W3115050390","https://openalex.org/W3217362339","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W2489516236"],"abstract_inverted_index":{"We":[0,28],"study":[1,74],"a":[2,51,60],"singular":[3],"nonlinear":[4],"ordinary":[5],"differential":[6],"equation":[7],"on":[8,39],"intervals":[9],"$[0,R)$":[10],"with":[11],"$R\\le":[12],"+\\infty$,":[13],"motivated":[14],"by":[15],"the":[16,40,67,73],"Ginzburg--Landau":[17],"models":[18,24],"in":[19,25],"superconductivity":[20],"and":[21,31],"Landau--de":[22],"Gennes":[23],"liquid":[26],"crystals.":[27],"prove":[29,59],"existence":[30],"uniqueness":[32,43],"of":[33,55,62,66,75],"positive":[34],"solutions":[35,47],"under":[36],"general":[37],"assumptions":[38],"nonlinearity.":[41],"Further":[42],"results":[44],"for":[45,50,72],"sign-changing":[46],"are":[48,70],"obtained":[49],"physically":[52],"relevant":[53],"class":[54],"nonlinearities.":[56],"Moreover,":[57],"we":[58],"number":[61],"fine":[63],"qualitative":[64],"properties":[65],"solution":[68],"that":[69],"important":[71],"energetic":[76],"stability.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
