{"id":"https://openalex.org/W2274439464","doi":"https://doi.org/10.1007/978-1-4684-7479-4_44","title":"Vortex Dynamics and Singularities in the 3-D Euler Equations","display_name":"Vortex Dynamics and Singularities in the 3-D Euler Equations","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W2274439464","doi":"https://doi.org/10.1007/978-1-4684-7479-4_44","mag":"2274439464"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4684-7479-4_44","doi":"https://doi.org/10.1007/978-1-4684-7479-4_44","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4684-7479-4_44","pdf_url":null,"source":{"id":"https://openalex.org/S4210172633","display_name":"NATO ASI series. Series B : Physics","issn_l":"0258-1221","issn":["0258-1221"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NATO ASI Series","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2476719481","display_name":"New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena"},"type":"book-chapter","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/A5021016157","display_name":"Alain Pumir","orcid":"https://orcid.org/0000-0001-9946-7353","observed_orcids":["https://orcid.org/0000-0001-9946-7353"]},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Pumir","raw_affiliation_strings":["Laboratoire de Physique Statistique, Ecole Normale Sup\u00e9rieure, 24, rue Lhomond, 75231, Paris Cedex, France","SPT, CEN Saclay, 91191, Gif sur Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Statistique, Ecole Normale Sup\u00e9rieure, 24, rue Lhomond, 75231, Paris Cedex, France","institution_ids":["https://openalex.org/I29607241"]},{"raw_affiliation_string":"SPT, CEN Saclay, 91191, Gif sur Yvette, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036408112","display_name":"Eric D. Siggia","orcid":"https://orcid.org/0000-0001-7482-1854","observed_orcids":["https://orcid.org/0000-0001-7482-1854"]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Eric D. Siggia","raw_affiliation_strings":["LASSP, Cornell University, Ithaca, N.Y., 14853, USA","Laboratoire de Physique Statistique, Ecole Normale Sup\u00e9rieure, 24, rue Lhomond, 75231, Paris Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LASSP, Cornell University, Ithaca, N.Y., 14853, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Laboratoire de Physique Statistique, Ecole Normale Sup\u00e9rieure, 24, rue Lhomond, 75231, Paris Cedex, France","institution_ids":["https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0907,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83689539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"321","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9448000192642212,"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":0.9448000192642212,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.04149999842047691,"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":0.005499999970197678,"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/euler-equations","display_name":"Euler equations","score":0.8790000081062317},{"id":"https://openalex.org/keywords/vortex-dynamics","display_name":"vortex dynamics","score":0.8700000047683716},{"id":"https://openalex.org/keywords/singularities","display_name":"singularities","score":0.7680000066757202},{"id":"https://openalex.org/keywords/three-dimensional-hydrodynamics","display_name":"three-dimensional fluid dynamics","score":0.9110000133514404},{"id":"https://openalex.org/keywords/smoothness-of-solutions","display_name":"smoothness of solutions","score":0.7379999756813049},{"id":"https://openalex.org/keywords/navier-stokes-equations","display_name":"Navier-Stokes equations","score":0.7979999780654907},{"id":"https://openalex.org/keywords/blow-up","display_name":"blow-up","score":0.39500001072883606}],"concepts":[{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.863278865814209},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.8566653728485107},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7975590825080872},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6816872358322144},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.6081857681274414},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.48818522691726685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4813738167285919},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4577005207538605},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.40665626525878906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3593830466270447},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1553766131401062},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4684-7479-4_44","doi":"https://doi.org/10.1007/978-1-4684-7479-4_44","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4684-7479-4_44","pdf_url":null,"source":{"id":"https://openalex.org/S4210172633","display_name":"NATO ASI series. Series B : Physics","issn_l":"0258-1221","issn":["0258-1221"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NATO ASI Series","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1975691081","https://openalex.org/W1996952201","https://openalex.org/W2019687956","https://openalex.org/W2021964921","https://openalex.org/W2030281386","https://openalex.org/W2038464105","https://openalex.org/W2062702302","https://openalex.org/W2063310297","https://openalex.org/W2077292489","https://openalex.org/W2082506167","https://openalex.org/W2095922644","https://openalex.org/W2101282602","https://openalex.org/W2118462315","https://openalex.org/W2135353663","https://openalex.org/W2151450119","https://openalex.org/W2168443954"],"related_works":["https://openalex.org/W2146589234","https://openalex.org/W7099676022","https://openalex.org/W7133385017","https://openalex.org/W7100119957","https://openalex.org/W2985143436","https://openalex.org/W2989974272","https://openalex.org/W4411715768","https://openalex.org/W7038654548","https://openalex.org/W2551590183","https://openalex.org/W3193812556"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}
