{"id":"https://openalex.org/W2069153105","doi":"https://doi.org/10.1007/bf03167494","title":"Convergence of a three-dimensional crystalline motion to Gauss curvature flow","display_name":"Convergence of a three-dimensional crystalline motion to Gauss curvature flow","publication_year":2005,"publication_date":"2005-10-01","ids":{"openalex":"https://openalex.org/W2069153105","doi":"https://doi.org/10.1007/bf03167494","mag":"2069153105"},"language":"en","primary_location":{"id":"doi:10.1007/bf03167494","doi":"https://doi.org/10.1007/bf03167494","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03167494","pdf_url":null,"source":{"id":"https://openalex.org/S126014849","display_name":"Japan Journal of Industrial and Applied Mathematics","issn_l":"0916-7005","issn":["0916-7005","1868-937X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3"],"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":"Japan Journal of Industrial and Applied Mathematics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2069153105"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5062475057","display_name":"Takeo Ushijima","orcid":"https://orcid.org/0000-0003-2882-0484","observed_orcids":["https://orcid.org/0000-0003-2882-0484"]},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takeo K. Ushijima","raw_affiliation_strings":["Faculty of Science and Technology, Tokyo University of Science, 2641 Yamazaki, Noda-shi, 278-8510, Chiba, Japan","Faculty of Sci. and Tech., Tokyo University of Science, Chiba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, Tokyo University of Science, 2641 Yamazaki, Noda-shi, 278-8510, Chiba, Japan","institution_ids":["https://openalex.org/I161296585"]},{"raw_affiliation_string":"Faculty of Sci. and Tech., Tokyo University of Science, Chiba, Japan","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086475310","display_name":"Hiroki Yagisita","orcid":"https://orcid.org/0000-0002-9544-4434","observed_orcids":["https://orcid.org/0000-0002-9544-4434"]},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroki Yagisita","raw_affiliation_strings":["Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, 153-8914, Tokyo, Japan","Graduate School of Mathematical Sciences, #N#            The University of Tokyo, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, 153-8914, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Graduate School of Mathematical Sciences, #N#            The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062475057"],"corresponding_institution_ids":["https://openalex.org/I161296585"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.158,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7131708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"22","issue":"3","first_page":"443","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9976000189781189,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0007999999797903001,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gauss-curvature-flow","display_name":"Gauss curvature flow","score":0.9509999752044678},{"id":"https://openalex.org/keywords/wulff-shape","display_name":"Wulff shape","score":0.8949999809265137},{"id":"https://openalex.org/keywords/convex-polyhedra","display_name":"convex polyhedra","score":0.9399999976158142},{"id":"https://openalex.org/keywords/minkowski-problem","display_name":"Minkowski problem","score":0.9909999966621399},{"id":"https://openalex.org/keywords/curve-shortening-flow","display_name":"curve shortening flow","score":0.765999972820282}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8599180579185486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6581690907478333},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.5794048309326172},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5751096606254578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5345826148986816},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5340484380722046},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5285707116127014},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5012226104736328},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.48173120617866516},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4685173034667969},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.4658810496330261},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.42793500423431396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33768540620803833},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.32481178641319275},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2231123149394989},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2025640904903412},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf03167494","doi":"https://doi.org/10.1007/bf03167494","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03167494","pdf_url":null,"source":{"id":"https://openalex.org/S126014849","display_name":"Japan Journal of Industrial and Applied Mathematics","issn_l":"0916-7005","issn":["0916-7005","1868-937X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3"],"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":"Japan Journal of Industrial and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W238515056","https://openalex.org/W324906905","https://openalex.org/W1519395207","https://openalex.org/W1571966798","https://openalex.org/W1595619062","https://openalex.org/W1912970596","https://openalex.org/W1974879453","https://openalex.org/W2001442116","https://openalex.org/W2007328748","https://openalex.org/W2016684934","https://openalex.org/W2019691858","https://openalex.org/W2025975819","https://openalex.org/W2059870147","https://openalex.org/W2060758224","https://openalex.org/W2062314820","https://openalex.org/W2066590878","https://openalex.org/W2070931763","https://openalex.org/W2110090571","https://openalex.org/W2113700713","https://openalex.org/W2123022380","https://openalex.org/W2949264872","https://openalex.org/W4244502344"],"related_works":["https://openalex.org/W198358296","https://openalex.org/W1519602430","https://openalex.org/W1964864091","https://openalex.org/W2060758224","https://openalex.org/W2007328748","https://openalex.org/W411405090","https://openalex.org/W280558455","https://openalex.org/W3003277699","https://openalex.org/W2023141115","https://openalex.org/W2117009507"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}