{"id":"https://openalex.org/W2034341896","doi":"https://doi.org/10.1007/s10915-010-9374-1","title":"Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System","display_name":"Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System","publication_year":2010,"publication_date":"2010-05-21","ids":{"openalex":"https://openalex.org/W2034341896","doi":"https://doi.org/10.1007/s10915-010-9374-1","mag":"2034341896"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-010-9374-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9374-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific Computing","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/A5008040792","display_name":"Dalia Fishelov","orcid":"https://orcid.org/0000-0001-6927-2125"},"institutions":[{"id":"https://openalex.org/I119096390","display_name":"Afeka College of Engineering","ror":"https://ror.org/05dhprc49","country_code":"IL","type":"education","lineage":["https://openalex.org/I119096390"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"D. Fishelov","raw_affiliation_strings":["Afeka\u2014Tel-Aviv Academic College of Engineering, 218 Bnei-Efraim St., Tel-Aviv, 69107, Israel","Afeka\u2014Tel-Aviv Academic College of Engineering, Tel-Aviv, Israel","Afeka, Tel-Aviv Academic College of Engineering, Tel-Aviv, Israel 69107#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Afeka\u2014Tel-Aviv Academic College of Engineering, 218 Bnei-Efraim St., Tel-Aviv, 69107, Israel","institution_ids":["https://openalex.org/I119096390"]},{"raw_affiliation_string":"Afeka\u2014Tel-Aviv Academic College of Engineering, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I119096390"]},{"raw_affiliation_string":"Afeka, Tel-Aviv Academic College of Engineering, Tel-Aviv, Israel 69107#TAB#","institution_ids":["https://openalex.org/I119096390"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041159863","display_name":"Matania Ben\u2010Artzi","orcid":"https://orcid.org/0000-0002-6782-4085"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"M. Ben-Artzi","raw_affiliation_strings":["Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel","Institute of Mathematics, The Hebrew University, Jerusalem, Israel","Institute of Mathematics, The Hebrew University, Jerusalem, Israel 91904"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel 91904","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066615764","display_name":"Jean\u2010Pierre Croisille","orcid":"https://orcid.org/0000-0002-4808-4341"},"institutions":[{"id":"https://openalex.org/I4210115482","display_name":"Laboratoire d'\u00c9tude des Microstructures et de M\u00e9canique des Mat\u00e9riaux","ror":"https://ror.org/01nyrrx14","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210095849","https://openalex.org/I4210115482","https://openalex.org/I4210134562","https://openalex.org/I4210150706","https://openalex.org/I90183372","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J.-P. Croisille","raw_affiliation_strings":["Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, 57045, France","Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, France","Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, France 57045"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, 57045, France","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, France","institution_ids":["https://openalex.org/I4210115482"]},{"raw_affiliation_string":"Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, France 57045","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008040792","https://openalex.org/A5041159863","https://openalex.org/A5066615764"],"corresponding_institution_ids":["https://openalex.org/I119096390","https://openalex.org/I197251160","https://openalex.org/I4210115482"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3403,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.81022708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"1-3","first_page":"238","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/biharmonic-equation","display_name":"Biharmonic equation","score":0.974898099899292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8571858406066895},{"id":"https://openalex.org/keywords/pad\u00e9-approximant","display_name":"Pad\u00e9 approximant","score":0.6870108246803284},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.6518685817718506},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5450681447982788},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.544346809387207},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.502469539642334},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48721688985824585},{"id":"https://openalex.org/keywords/stream-function","display_name":"Stream function","score":0.4327716827392578},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4174475073814392},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4140594005584717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38856977224349976},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.18797361850738525},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.13138160109519958},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06332269310951233}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.974898099899292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8571858406066895},{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.6870108246803284},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.6518685817718506},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5450681447982788},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.544346809387207},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.502469539642334},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48721688985824585},{"id":"https://openalex.org/C18932819","wikidata":"https://www.wikidata.org/wiki/Q2029236","display_name":"Stream function","level":4,"score":0.4327716827392578},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4174475073814392},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4140594005584717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38856977224349976},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.18797361850738525},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.13138160109519958},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06332269310951233},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/s10915-010-9374-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9374-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W579809075","https://openalex.org/W1527888186","https://openalex.org/W1965502068","https://openalex.org/W1982337795","https://openalex.org/W2021041911","https://openalex.org/W2046114486","https://openalex.org/W2061170279","https://openalex.org/W2073390622","https://openalex.org/W2097965601","https://openalex.org/W2115699021","https://openalex.org/W2125950010","https://openalex.org/W2146245558","https://openalex.org/W3107621576"],"related_works":["https://openalex.org/W2503543076","https://openalex.org/W2735403536","https://openalex.org/W4250629490","https://openalex.org/W2049702052","https://openalex.org/W2020999775","https://openalex.org/W1974297648","https://openalex.org/W3034685881","https://openalex.org/W2087474285","https://openalex.org/W2045015678","https://openalex.org/W1999375835"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
