{"id":"https://openalex.org/W4385190074","doi":"https://doi.org/10.1007/s00332-023-09939-5","title":"Vector Field Models for Nematic Disclinations","display_name":"Vector Field Models for Nematic Disclinations","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385190074","doi":"https://doi.org/10.1007/s00332-023-09939-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-023-09939-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-023-09939-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-023-09939-5.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-023-09939-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080329610","display_name":"Amit Acharya","orcid":"https://orcid.org/0000-0002-6184-3357"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amit Acharya","raw_affiliation_strings":["Department of Civil and Environmental Engineering and Center for Nonlinear Analysis, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA, 15213, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering and Center for Nonlinear Analysis, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020315578","display_name":"Irene Fonseca","orcid":"https://orcid.org/0000-0002-7840-8175"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Irene Fonseca","raw_affiliation_strings":["Department of Mathematics and Center for Nonlinear Analysis, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA, 15213, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Nonlinear Analysis, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA, 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011239854","display_name":"Likhit Ganedi","orcid":"https://orcid.org/0000-0003-0655-9465"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Likhit Ganedi","raw_affiliation_strings":["Institut f\u00fcr Mathematik RWTH Aachen, Templergraben 55, 52062, Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik RWTH Aachen, Templergraben 55, 52062, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019662692","display_name":"Kerrek Stinson","orcid":"https://orcid.org/0000-0002-7554-7831"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Kerrek Stinson","raw_affiliation_strings":["Hausdorff Center for Mathematics, University of Bonn, Endenicher Allee 62, 53115, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hausdorff Center for Mathematics, University of Bonn, Endenicher Allee 62, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019662692"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.1644,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.43310106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"33","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9902999997138977,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.7253257036209106},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.716249406337738},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6456652879714966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6352407932281494},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.5756257176399231},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5673208236694336},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5243287682533264},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49971699714660645},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.4734456241130829},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4670020341873169},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4499798119068146},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4146907329559326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.259446918964386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10918161273002625}],"concepts":[{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.7253257036209106},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.716249406337738},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6456652879714966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6352407932281494},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5756257176399231},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5673208236694336},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5243287682533264},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49971699714660645},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.4734456241130829},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4670020341873169},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4499798119068146},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4146907329559326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.259446918964386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10918161273002625},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-023-09939-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-023-09939-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-023-09939-5.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00332-023-09939-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-023-09939-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-023-09939-5.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1195851558","display_name":"GRK 2326: Energie, Entropie und Dissipative Dynamik","funder_award_id":"320021702","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1521016025","display_name":"EXC 2047: Hausdorff Center for Mathematics (HCM)","funder_award_id":"390685813","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G2517188579","display_name":"Collaborative Research: GCR: Collective Behavior and Patterning of Topological Defects: From String Theory to Crystal Plasticity","funder_award_id":"2021019","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3112948292","display_name":null,"funder_award_id":"Projekt-ID 390685813","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G569024025","display_name":null,"funder_award_id":"NSF OIA-DMR #2021019","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6032080779","display_name":null,"funder_award_id":"GZ 2047/1, Projekt-ID 390685813","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G605972000","display_name":null,"funder_award_id":"2021019","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G6886859827","display_name":null,"funder_award_id":"GRK2326","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8847963564","display_name":null,"funder_award_id":"GZ 2047/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G935223457","display_name":null,"funder_award_id":"320021702 GRK2326","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"},{"id":"https://openalex.org/F4320337378","display_name":"Office of Integrative Activities","ror":"https://ror.org/04k9mqs78"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385190074.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W616225202","https://openalex.org/W1423839536","https://openalex.org/W1480714962","https://openalex.org/W1483014895","https://openalex.org/W1975747602","https://openalex.org/W1978143610","https://openalex.org/W2014212235","https://openalex.org/W2027880021","https://openalex.org/W2035610497","https://openalex.org/W2039925534","https://openalex.org/W2041550127","https://openalex.org/W2059450582","https://openalex.org/W2061581146","https://openalex.org/W2065857408","https://openalex.org/W2069677126","https://openalex.org/W2133279506","https://openalex.org/W2163659052","https://openalex.org/W2286445365","https://openalex.org/W2834221627","https://openalex.org/W2962703237","https://openalex.org/W2964000395","https://openalex.org/W3015750477","https://openalex.org/W3027956710","https://openalex.org/W3115790363","https://openalex.org/W4310955534","https://openalex.org/W6603304818"],"related_works":["https://openalex.org/W1977876013","https://openalex.org/W4308647983","https://openalex.org/W2057361304","https://openalex.org/W2350325755","https://openalex.org/W2964348519","https://openalex.org/W2389758888","https://openalex.org/W2907829584","https://openalex.org/W2953306249","https://openalex.org/W1485170658","https://openalex.org/W2801649141"],"abstract_inverted_index":{"Abstract":[0],"In":[1,27],"this":[2],"paper,":[3],"a":[4,59,64],"model":[5,49],"for":[6,35],"defects":[7,36],"in":[8,15,58,74],"nematic":[9],"liquid":[10],"crystals":[11],"that":[12],"was":[13],"introduced":[14],"Zhang":[16],"et":[17],"al.":[18],"(Physica":[19],"D":[20],"Nonlinear":[21],"Phenom":[22],"417:132828,":[23],"2021)":[24],"is":[25,37,80],"studied.":[26],"the":[28,30,38,48,53,69,75,89],"literature,":[29],"setting":[31],"of":[32,44,77],"many":[33],"models":[34],"function":[39],"space":[40,61],"SBV":[41],"(special":[42],"functions":[43],"bounded":[45],"variation).":[46],"However,":[47],"considered":[50],"herein":[51],"regularizes":[52],"director":[54],"field":[55,67],"to":[56],"be":[57],"Sobolev":[60],"by":[62],"introducing":[63],"second":[65],"vector":[66],"tracking":[68],"defect.":[70],"A":[71],"relaxation":[72],"result":[73],"case":[76],"fixed":[78],"parameters":[79],"proved":[81],"along":[82],"with":[83],"some":[84],"partial":[85],"compactness":[86],"results":[87],"as":[88],"defect":[90],"width":[91],"vanishes.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-06T08:01:05.025921","created_date":"2025-10-10T00:00:00"}
