{"id":"https://openalex.org/W4200348786","doi":"https://doi.org/10.1109/aimc54250.2021.9656988","title":"Solutions of Euler equations on the two-dimensional sphere","display_name":"Solutions of Euler equations on the two-dimensional sphere","publication_year":2021,"publication_date":"2021-08-30","ids":{"openalex":"https://openalex.org/W4200348786","doi":"https://doi.org/10.1109/aimc54250.2021.9656988"},"language":"en","primary_location":{"id":"doi:10.1109/aimc54250.2021.9656988","doi":"https://doi.org/10.1109/aimc54250.2021.9656988","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aimc54250.2021.9656988","pdf_url":null,"source":{"id":"https://openalex.org/S7407114292","display_name":"Annual Iranian Mathematics Conference (AIMC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 52nd Annual Iranian Mathematics Conference (AIMC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","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/A5028326700","display_name":"Elahe Kazazi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I119025939","display_name":"Shahed University","ror":"https://ror.org/01e8ff003","country_code":"IR","type":"education","lineage":["https://openalex.org/I119025939"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Elahe Kazazi","raw_affiliation_strings":["Department of Mathematics, Shahed University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahed University, Tehran, Iran","institution_ids":["https://openalex.org/I119025939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029281844","display_name":"Hajar Ghahremani-Gol","orcid":"https://orcid.org/0000-0002-5424-740X","observed_orcids":["https://orcid.org/0000-0002-5424-740X"]},"institutions":[{"id":"https://openalex.org/I119025939","display_name":"Shahed University","ror":"https://ror.org/01e8ff003","country_code":"IR","type":"education","lineage":["https://openalex.org/I119025939"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hajar Ghahremani-Gol","raw_affiliation_strings":["Department of Mathematics, Shahed University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahed University, Tehran, Iran","institution_ids":["https://openalex.org/I119025939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I119025939"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"48","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.7494999766349792,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.7494999766349792,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.1842000037431717,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.023099999874830246,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/euler-equations","display_name":"Euler equations","score":0.9309999942779541},{"id":"https://openalex.org/keywords/2-sphere","display_name":"2-sphere","score":0.843999981880188},{"id":"https://openalex.org/keywords/incompressible-euler-equations","display_name":"incompressible Euler equations","score":0.8009999990463257},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.996999979019165},{"id":"https://openalex.org/keywords/geometric-analysis","display_name":"geometric analysis","score":0.7590000033378601},{"id":"https://openalex.org/keywords/geophysical-fluid-dynamics","display_name":"geophysical fluid dynamics","score":0.7039999961853027},{"id":"https://openalex.org/keywords/vorticity","display_name":"vorticity","score":0.6169999837875366}],"concepts":[{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.7610265016555786},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6688684225082397},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.6585294604301453},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.46660205721855164},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.44914132356643677},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43651366233825684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4331156015396118},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.3137720227241516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2578694820404053},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10901892185211182}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/aimc54250.2021.9656988","doi":"https://doi.org/10.1109/aimc54250.2021.9656988","is_oa":false,"landing_page_url":"https://doi.org/10.1109/aimc54250.2021.9656988","pdf_url":null,"source":{"id":"https://openalex.org/S7407114292","display_name":"Annual Iranian Mathematics Conference (AIMC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 52nd Annual Iranian Mathematics Conference (AIMC)","raw_type":"proceedings-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":3,"referenced_works":["https://openalex.org/W1984533458","https://openalex.org/W2963301429","https://openalex.org/W4292023735"],"related_works":["https://openalex.org/W3041727594","https://openalex.org/W7097797173","https://openalex.org/W581888492","https://openalex.org/W7161951849","https://openalex.org/W7134254511","https://openalex.org/W2056721689","https://openalex.org/W2803791601","https://openalex.org/W7129375990","https://openalex.org/W2537783793","https://openalex.org/W4220755757"],"abstract_inverted_index":{"Two":[0],"dimensional":[1],"manifolds":[2],"are":[3],"especially":[4],"important":[5],"in":[6,14,18,46],"applications.":[7],"In":[8],"particular":[9],"the":[10,23,28,32,44],"sphere":[11,45],"is":[12],"relevant":[13],"meteorological":[15],"applications":[16],"so":[17],"this":[19],"paper,":[20],"we":[21,35],"use":[22],"geometric":[24],"analysis":[25],"to":[26],"explain":[27],"Euler":[29,41],"equation":[30,42],"on":[31,43],"sphere.":[33],"Also":[34],"find":[36],"exact":[37],"solutions":[38],"for":[39],"incompressible":[40],"some":[47],"special":[48],"cases.":[49]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2021-12-31T00:00:00"}
