{"id":"https://openalex.org/W1970896015","doi":"https://doi.org/10.1103/physreva.36.4360","title":"Method for finding stationary states of point vortices","display_name":"Method for finding stationary states of point vortices","publication_year":1987,"publication_date":"1987-11-01","ids":{"openalex":"https://openalex.org/W1970896015","doi":"https://doi.org/10.1103/physreva.36.4360","mag":"1970896015","pmid":"https://pubmed.ncbi.nlm.nih.gov/9899392"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.36.4360","doi":"https://doi.org/10.1103/physreva.36.4360","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.36.4360","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5041475211","display_name":"James B. Kadtke","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James B. Kadtke","raw_affiliation_strings":["Center for Nonlinear Studies, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Studies, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111799124","display_name":"L. J. Campbell","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. J. Campbell","raw_affiliation_strings":["Center for Nonlinear Studies, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545","Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico, 87545"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Studies, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico, 87545","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1343871089"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":0.2824,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.47111778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"36","issue":"9","first_page":"4360","last_page":"4370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.8598999977111816,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.8598999977111816,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.08980000019073486,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.021800000220537186,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/point-vortex","display_name":"point vortices","score":0.9909999966621399},{"id":"https://openalex.org/keywords/screw-dislocations","display_name":"screw dislocations","score":0.7950000166893005},{"id":"https://openalex.org/keywords/line-charge","display_name":"line charge","score":0.8960000276565552},{"id":"https://openalex.org/keywords/external-flow-field","display_name":"external flow field","score":0.8320000171661377},{"id":"https://openalex.org/keywords/kdv-equation","display_name":"Korteweg-de Vries equation","score":0.8629999756813049},{"id":"https://openalex.org/keywords/multi-soliton-solutions","display_name":"N-soliton solutions","score":0.9110000133514404},{"id":"https://openalex.org/keywords/rational-solutions","display_name":"rational solutions","score":0.6909999847412109},{"id":"https://openalex.org/keywords/vortex-dynamics","display_name":"vortex dynamics","score":0.34299999475479126},{"id":"https://openalex.org/keywords/quadrupole-flow","display_name":"quadrupole flow","score":0.8190000057220459},{"id":"https://openalex.org/keywords/uniform-flow","display_name":"uniform flow","score":0.9240000247955322}],"concepts":[{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.8348088264465332},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.752726137638092},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5958935618400574},{"id":"https://openalex.org/C39984356","wikidata":"https://www.wikidata.org/wiki/Q2121987","display_name":"Quadrupole","level":2,"score":0.5448723435401917},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5157111287117004},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.5023291110992432},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.48696812987327576},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.45474857091903687},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.4539414048194885},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.451910138130188},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44490814208984375},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4335113763809204},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4136106073856354},{"id":"https://openalex.org/C131043120","wikidata":"https://www.wikidata.org/wiki/Q1543991","display_name":"Potential flow","level":2,"score":0.41215580701828003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33434295654296875},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33239421248435974},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.32104331254959106},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23948204517364502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17068138718605042},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11442935466766357},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09820690751075745}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physreva.36.4360","doi":"https://doi.org/10.1103/physreva.36.4360","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.36.4360","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},{"id":"pmid:9899392","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9899392","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. A, General physics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2003485783","https://openalex.org/W2023668553","https://openalex.org/W2037065062","https://openalex.org/W2040642574","https://openalex.org/W2060918093","https://openalex.org/W2107164109","https://openalex.org/W2120074357","https://openalex.org/W2131039696","https://openalex.org/W2136018460"],"related_works":["https://openalex.org/W2060918093","https://openalex.org/W2131039696","https://openalex.org/W2777821012","https://openalex.org/W2897387574","https://openalex.org/W2267945487","https://openalex.org/W2741199006","https://openalex.org/W3213814546","https://openalex.org/W1971548059","https://openalex.org/W109279371","https://openalex.org/W2412540984"],"abstract_inverted_index":{"The":[0],"condition":[1],"for":[2,29,67],"stationary":[3,46],"configurations":[4],"of":[5,39,59],"point":[6],"vortices":[7,38],"(or":[8],"screw":[9],"dislocations,":[10],"line":[11],"charges,":[12],"etc.)":[13],"having":[14],"arbitrary":[15],"strengths":[16],"embedded":[17],"in":[18],"an":[19],"external":[20,69],"flow":[21],"field":[22],"is":[23],"expressed":[24],"as":[25],"a":[26],"differential":[27],"equation":[28],"functions":[30],"whose":[31],"zeros":[32],"are":[33,48,65],"the":[34,45,53,56,60],"vortex":[35],"positions.":[36],"For":[37],"unit":[40],"strength":[41],"but":[42],"mixed":[43],"sign":[44],"states":[47],"closely":[49],"related":[50],"to":[51],"both":[52],"rational":[54],"and":[55,73],"N-soliton":[57],"solutions":[58],"Korteweg--de":[61],"Vries":[62],"equation.":[63],"Examples":[64],"given":[66],"no":[68],"flow,":[70,72],"uniform":[71],"quadrupole":[74],"flow.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}
