{"id":"https://openalex.org/W7222958686","doi":"https://doi.org/10.48550/arxiv.2610.23753","title":"Asymptotic stability of a Bloch skyrmion for the Landau-Lifshitz-Gilbert equation","display_name":"Asymptotic stability of a Bloch skyrmion for the Landau-Lifshitz-Gilbert equation","publication_year":2026,"publication_date":"2026-10-16","ids":{"openalex":"https://openalex.org/W7222958686","doi":"https://doi.org/10.48550/arxiv.2610.23753"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.23753","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23753","pdf_url":"https://arxiv.org/pdf/2610.23753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.23753","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092050133","display_name":"Jordan Berthoumieu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Berthoumieu, Jordan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059212102","display_name":"Rapha\u00ebl C\u00f4te","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"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"]},{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"C\u00f4te, Rapha\u00ebl","raw_affiliation_strings":["Karlsruhe Institute of Technology (KIT) , Department of Mathematics , Englerstra\u00dfe 2 , 76131 Karlsruhe Germany","UMR 7501 , Universit\u00e9 de Strasbourg , CNRS , F-67000 Strasbourg , France &"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT) , Department of Mathematics , Englerstra\u00dfe 2 , 76131 Karlsruhe Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"UMR 7501 , Universit\u00e9 de Strasbourg , CNRS , F-67000 Strasbourg , France &","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I68947357"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10049","display_name":"Magnetic properties of thin films","score":0.5967000126838684,"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"}},"topics":[{"id":"https://openalex.org/T10049","display_name":"Magnetic properties of thin films","score":0.5967000126838684,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.22939999401569366,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.04039999842643738,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bloch-skyrmions","display_name":"Bloch skyrmions","score":0.9629999995231628},{"id":"https://openalex.org/keywords/landau-lifshitz-gilbert-equation","display_name":"Landau-Lifshitz-Gilbert equation","score":0.953000009059906},{"id":"https://openalex.org/keywords/asymptotic-stability","display_name":"asymptotic stability","score":0.996999979019165},{"id":"https://openalex.org/keywords/micromagnetics","display_name":"micromagnetics","score":0.7900000214576721},{"id":"https://openalex.org/keywords/dzyaloshinskii-moriya-interaction","display_name":"Dzyaloshinskii-Moriya interaction","score":0.9710000157356262},{"id":"https://openalex.org/keywords/zeeman-interaction","display_name":"Zeeman interaction","score":0.8050000071525574},{"id":"https://openalex.org/keywords/exchange-energy","display_name":"exchange energy","score":0.8989999890327454},{"id":"https://openalex.org/keywords/local-minimizers","display_name":"local minimizers","score":0.7990000247955322},{"id":"https://openalex.org/keywords/exponential-convergence","display_name":"exponential convergence","score":0.5870000123977661},{"id":"https://openalex.org/keywords/gauge-transformations","display_name":"gauge transformations","score":0.3930000066757202},{"id":"https://openalex.org/keywords/two-dimensional-spin-models","display_name":"two-dimensional spin systems","score":0.5649999976158142}],"concepts":[{"id":"https://openalex.org/C88020606","wikidata":"https://www.wikidata.org/wiki/Q1041630","display_name":"Skyrmion","level":2,"score":0.9110000133514404},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6861000061035156},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6051999926567078},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5741999745368958},{"id":"https://openalex.org/C25227350","wikidata":"https://www.wikidata.org/wiki/Q201805","display_name":"Zeeman effect","level":3,"score":0.5195000171661377},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5180000066757202},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.46369999647140503},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4101000130176544},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.39989998936653137},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3849000036716461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36980000138282776},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.335999995470047},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.32910001277923584},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.32089999318122864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3203999996185303},{"id":"https://openalex.org/C119835096","wikidata":"https://www.wikidata.org/wiki/Q6839648","display_name":"Micromagnetics","level":4,"score":0.30059999227523804},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2858000099658966},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2614000141620636},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.2531000077724457}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2610.23753","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23753","pdf_url":"https://arxiv.org/pdf/2610.23753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05804938v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05804938","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2610.23753","doi":"https://doi.org/10.48550/arxiv.2610.23753","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.23753","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.23753","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23753","pdf_url":"https://arxiv.org/pdf/2610.23753","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222958686.pdf","grobid_xml":"https://content.openalex.org/works/W7222958686.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3107817108","https://openalex.org/W4416084022","https://openalex.org/W2963621661","https://openalex.org/W7222964859","https://openalex.org/W2097237186","https://openalex.org/W2747154722","https://openalex.org/W7125803974","https://openalex.org/W2019540331","https://openalex.org/W1507480088","https://openalex.org/W2142618475"],"abstract_inverted_index":{"We":[0,16,33,50],"prove":[1,51],"the":[2,9,12,23,26,30,37,60,76],"asymptotic":[3],"stability":[4,38],"of":[5,11,39,47,82],"isolated":[6],"skyrmions":[7],"under":[8],"flow":[10],"two-dimensional":[13],"Landau-Lifshitz-Gilbert":[14],"equation.":[15],"consider":[17],"a":[18,63,80],"micromagnetic":[19],"energy":[20],"functional":[21],"involving":[22],"exchange":[24],"energy,":[25],"Dzyaloshinskii-Moriya":[27],"interaction,":[28],"and":[29],"Zeeman":[31],"interaction.":[32],"are":[34,44,57],"interested":[35],"in":[36,54,59,62,73],"chiral":[40],"Bloch":[41],"skyrmions,":[42],"which":[43,56],"local":[45],"minimizers":[46],"this":[48],"energy.":[49],"that":[52],"data":[53],"H2":[55],"near":[58],"skyrmion":[61],"slighlty":[64],"stronger":[65],"than":[66],"H1":[67],"sense,":[68],"converge":[69],"with":[70],"exponential":[71],"rate,":[72],"H2,":[74],"to":[75,79],"skyrmion,":[77],"up":[78],"change":[81],"gauge.":[83]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-20T00:00:00"}