{"id":"https://openalex.org/W4391125002","doi":"https://doi.org/10.1007/s00332-023-10005-3","title":"Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions","display_name":"Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions","publication_year":2024,"publication_date":"2024-01-23","ids":{"openalex":"https://openalex.org/W4391125002","doi":"https://doi.org/10.1007/s00332-023-10005-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-023-10005-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-023-10005-3","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006393097","display_name":"Elisa Davoli","orcid":"https://orcid.org/0000-0002-1715-5004"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Elisa Davoli","raw_affiliation_strings":["Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstra\u00dfe 8-10, 1040, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstra\u00dfe 8-10, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027599433","display_name":"Lorenza D\u2019Elia","orcid":"https://orcid.org/0000-0002-2809-5553"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Lorenza D\u2019Elia","raw_affiliation_strings":["Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstra\u00dfe 8-10, 1040, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstra\u00dfe 8-10, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018130096","display_name":"Jonas Ingmanns","orcid":"https://orcid.org/0009-0008-1310-7946"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Jonas Ingmanns","raw_affiliation_strings":["Institute of Science and Technology Austria (ISTA), Am Campus 1, 3400, Klosterneuburg, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria (ISTA), Am Campus 1, 3400, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027599433"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.4827,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62191582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"34","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/homogenization","display_name":"Homogenization (climate)","score":0.8604350090026855},{"id":"https://openalex.org/keywords/antisymmetric-relation","display_name":"Antisymmetric relation","score":0.6066868901252747},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5473026633262634},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.5294358730316162},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.5146514177322388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5020170211791992},{"id":"https://openalex.org/keywords/skyrmion","display_name":"Skyrmion","score":0.4987599849700928},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4703638255596161},{"id":"https://openalex.org/keywords/ferromagnetism","display_name":"Ferromagnetism","score":0.45584338903427124},{"id":"https://openalex.org/keywords/energy-functional","display_name":"Energy functional","score":0.4542752206325531},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.4441901445388794},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4277305006980896},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38408294320106506},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.3122919797897339},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.18389073014259338},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13010483980178833}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8604350090026855},{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.6066868901252747},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5473026633262634},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.5294358730316162},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.5146514177322388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5020170211791992},{"id":"https://openalex.org/C88020606","wikidata":"https://www.wikidata.org/wiki/Q1041630","display_name":"Skyrmion","level":2,"score":0.4987599849700928},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4703638255596161},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.45584338903427124},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.4542752206325531},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.4441901445388794},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4277305006980896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38408294320106506},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3122919797897339},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.18389073014259338},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13010483980178833},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"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":1,"locations":[{"id":"doi:10.1007/s00332-023-10005-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-023-10005-3","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G8890430647","display_name":null,"funder_award_id":"SFB project F65","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1581406479","https://openalex.org/W1971359990","https://openalex.org/W1975004578","https://openalex.org/W2000605079","https://openalex.org/W2007997375","https://openalex.org/W2027239222","https://openalex.org/W2031783283","https://openalex.org/W2038561289","https://openalex.org/W2063773847","https://openalex.org/W2066202614","https://openalex.org/W2083071282","https://openalex.org/W2088081187","https://openalex.org/W2101745749","https://openalex.org/W2116153932","https://openalex.org/W2116801612","https://openalex.org/W2154419092","https://openalex.org/W2168406111","https://openalex.org/W2269710820","https://openalex.org/W2291912829","https://openalex.org/W2335683348","https://openalex.org/W2574326239","https://openalex.org/W2590880597","https://openalex.org/W2608069982","https://openalex.org/W2735806552","https://openalex.org/W2740915547","https://openalex.org/W2747653033","https://openalex.org/W2774446992","https://openalex.org/W2963621661","https://openalex.org/W2963674667","https://openalex.org/W2963970434","https://openalex.org/W2993644329","https://openalex.org/W2999462745","https://openalex.org/W3017056171","https://openalex.org/W3095587724","https://openalex.org/W3098658197","https://openalex.org/W3099787693","https://openalex.org/W3120881572","https://openalex.org/W4313438495","https://openalex.org/W6631356940"],"related_works":["https://openalex.org/W4290101895","https://openalex.org/W3111886422","https://openalex.org/W3201336289","https://openalex.org/W3171295010","https://openalex.org/W4213048090","https://openalex.org/W4319077280","https://openalex.org/W2581183332","https://openalex.org/W1548684642","https://openalex.org/W2056345399","https://openalex.org/W4289644892"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
