{"id":"https://openalex.org/W3133210440","doi":"https://doi.org/10.1137/21m1400171","title":"One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability","display_name":"One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability","publication_year":2022,"publication_date":"2022-04-01","ids":{"openalex":"https://openalex.org/W3133210440","doi":"https://doi.org/10.1137/21m1400171","mag":"3133210440"},"language":"en","primary_location":{"id":"doi:10.1137/21m1400171","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1400171","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/A5024834182","display_name":"James Dalby","orcid":"https://orcid.org/0009-0009-9140-8194"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"James Dalby","raw_affiliation_strings":["Department of Mathematics, University of Strathclyde, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Strathclyde, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102855060","display_name":"Patrick E. Farrell","orcid":"https://orcid.org/0000-0002-1241-7060"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Patrick E. Farrell","raw_affiliation_strings":["Mathematical Institute, University of Oxford, UK"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015153175","display_name":"Apala Majumdar","orcid":"https://orcid.org/0000-0003-4802-6720"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Apala Majumdar","raw_affiliation_strings":["Department of Mathematics, University of Strathclyde, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Strathclyde, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017724631","display_name":"Jingmin Xia","orcid":"https://orcid.org/0000-0002-2705-4514"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jingmin Xia","raw_affiliation_strings":["Mathematical Institute, University of Oxford, UK"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024834182"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":null,"apc_paid":null,"fwci":0.1219,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.26851536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"82","issue":"2","first_page":"694","last_page":"719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9995999932289124,"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":0.9995999932289124,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.9364917278289795},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6635452508926392},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6462942957878113},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5628162622451782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5420310497283936},{"id":"https://openalex.org/keywords/liquid-crystal","display_name":"Liquid crystal","score":0.5232987999916077},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5059673190116882},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4874613285064697},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4846280515193939},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4829358458518982},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4461525082588196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43649888038635254},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.41262492537498474},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38556036353111267},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3702716827392578},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3206818997859955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28399139642715454},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1951165795326233},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1722126007080078},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.16583794355392456},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11775073409080505}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9364917278289795},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6635452508926392},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6462942957878113},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5628162622451782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5420310497283936},{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.5232987999916077},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5059673190116882},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4874613285064697},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4846280515193939},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4829358458518982},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4461525082588196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43649888038635254},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.41262492537498474},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38556036353111267},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3702716827392578},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3206818997859955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28399139642715454},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1951165795326233},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1722126007080078},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.16583794355392456},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11775073409080505},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/21m1400171","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1400171","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/c4f92c2a-080d-4a66-a6e8-23a09e0dc160","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/c4f92c2a-080d-4a66-a6e8-23a09e0dc160","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":"Dalby, J, Farrell, P E, Majumdar, A & Xia, J 2022, 'One-dimensional ferronematics in a channel : order reconstruction, bifurcations, and multistability', SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 82, no. 2, pp. 694-719. https://doi.org/10.1137/21M1400171","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:strathprints.strath.ac.uk:78435","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/1253753.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:ora.ox.ac.uk:uuid:a836fa02-a040-4c19-b0f8-fed21973b8a3","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:a836fa02-a040-4c19-b0f8-fed21973b8a3","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1327798365","display_name":"EPSRC Centre for Doctoral Training in Partial Differential Equations: Analysis and Applications","funder_award_id":"EP/L015811/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3708552165","display_name":"Gen X: ExCALIBUR working group on Exascale continuum mechanics through code generation.","funder_award_id":"EP/V001493/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3957501995","display_name":null,"funder_award_id":"EP/R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7295259756","display_name":"PRISM: Platform for Research In Simulation Methods","funder_award_id":"EP/R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320310234","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69"},{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320320270","display_name":"UK-India Education and Research Initiative","ror":"https://ror.org/037dz3r63"},{"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":29,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W1516868716","https://openalex.org/W1969816870","https://openalex.org/W2005133177","https://openalex.org/W2005889447","https://openalex.org/W2014817760","https://openalex.org/W2069300979","https://openalex.org/W2070571481","https://openalex.org/W2083484025","https://openalex.org/W2095072971","https://openalex.org/W2120494006","https://openalex.org/W2130872685","https://openalex.org/W2168522485","https://openalex.org/W2519490915","https://openalex.org/W2587939112","https://openalex.org/W2958686805","https://openalex.org/W2962399387","https://openalex.org/W2962828807","https://openalex.org/W2963597222","https://openalex.org/W2963613067","https://openalex.org/W2968350337","https://openalex.org/W3008916460","https://openalex.org/W3021722416","https://openalex.org/W3099462234","https://openalex.org/W3102441626","https://openalex.org/W3104566386","https://openalex.org/W3105859499","https://openalex.org/W3213498143","https://openalex.org/W4249983289"],"related_works":["https://openalex.org/W4226329279","https://openalex.org/W1527571384","https://openalex.org/W2383189914","https://openalex.org/W4301445084","https://openalex.org/W2963840034","https://openalex.org/W1984975294","https://openalex.org/W4226178663","https://openalex.org/W1517717759","https://openalex.org/W1964251919","https://openalex.org/W4241282949"],"abstract_inverted_index":{"We":[0,63],"study":[1],"a":[2,11,25,32,54,60,74,93],"model":[3],"system":[4,21],"with":[5],"nematic":[6,27],"and":[7,31,36,70,89,97,110],"magnetic":[8],"order,":[9],"within":[10],"channel":[12],"geometry":[13],"modeled":[14,41],"by":[15,24,59],"an":[16,47],"interval,":[17],"$[-D,":[18],"D]$.":[19],"The":[20],"is":[22],"characterized":[23,58],"tensor-valued":[26],"order":[28,83],"parameter":[29,61,79],"${{Q}}$":[30,69],"vector-valued":[33],"magnetization":[34],"${{M}}$,":[35],"the":[37,106],"observable":[38],"states":[39],"are":[40],"as":[42,92],"stable":[43],"critical":[44],"points":[45],"of":[46,95,108],"appropriately":[48],"defined":[49],"free":[50],"energy":[51],"which":[52],"includes":[53],"nemato-magnetic":[55],"coupling":[56],"term,":[57],"$c$.":[62],"(i)":[64],"derive":[65],"$L^\\infty$":[66],"bounds":[67],"for":[68,112],"${{M}}$;":[71],"(ii)":[72],"prove":[73],"uniqueness":[75],"result":[76],"in":[77],"specified":[78],"regimes;":[80],"(iii)":[81],"analyze":[82],"reconstruction":[84],"solutions,":[85],"possessing":[86],"domain":[87],"walls,":[88],"their":[90],"stabilities":[91],"function":[94],"$D$":[96,111],"$c$":[98,109],"and;":[99],"(iv)":[100],"perform":[101],"numerical":[102],"studies":[103],"that":[104],"elucidate":[105],"interplay":[107],"multistability.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
