{"id":"https://openalex.org/W1964782002","doi":"https://doi.org/10.1016/j.cnsns.2014.06.027","title":"Rotational and self-similar solutions for the compressible Euler equations in R3","display_name":"Rotational and self-similar solutions for the compressible Euler equations in R3","publication_year":2014,"publication_date":"2014-07-08","ids":{"openalex":"https://openalex.org/W1964782002","doi":"https://doi.org/10.1016/j.cnsns.2014.06.027","mag":"1964782002"},"language":"lv","primary_location":{"id":"doi:10.1016/j.cnsns.2014.06.027","doi":"https://doi.org/10.1016/j.cnsns.2014.06.027","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2014.06.027","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.6686","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058546949","display_name":"Manwai Yuen","orcid":"https://orcid.org/0000-0002-5035-3555","observed_orcids":["https://orcid.org/0000-0002-5035-3555"]},"institutions":[{"id":"https://openalex.org/I4210086892","display_name":"Education University of Hong Kong","ror":"https://ror.org/000t0f062","country_code":"HK","type":"education","lineage":["https://openalex.org/I4210086892"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Manwai Yuen","raw_affiliation_strings":["Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong","Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong","institution_ids":["https://openalex.org/I4210086892"]},{"raw_affiliation_string":"Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong#TAB#","institution_ids":["https://openalex.org/I4210086892"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058546949"],"corresponding_institution_ids":["https://openalex.org/I4210086892"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":2.3849,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.86708301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"20","issue":"3","first_page":"634","last_page":"640"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9901999831199646,"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":0.9901999831199646,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.004100000020116568,"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/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.0015999999595806003,"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/compressible-euler-equations","display_name":"compressible Euler equations","score":0.9980000257492065},{"id":"https://openalex.org/keywords/self-similar-solutions","display_name":"self-similar solutions","score":1.0},{"id":"https://openalex.org/keywords/three-dimensional-flow","display_name":"three-dimensional flow","score":0.6230000257492065},{"id":"https://openalex.org/keywords/separation-techniques","display_name":"separation processes","score":0.7200000286102295},{"id":"https://openalex.org/keywords/blow-up","display_name":"blow-up","score":0.7590000033378601},{"id":"https://openalex.org/keywords/global-existence","display_name":"global existence","score":0.9959999918937683},{"id":"https://openalex.org/keywords/vortices","display_name":"vortices","score":0.7609999775886536}],"concepts":[{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5254254341125488},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5221693515777588},{"id":"https://openalex.org/C147457402","wikidata":"https://www.wikidata.org/wiki/Q1588205","display_name":"Conservative vector field","level":3,"score":0.4487782418727875},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4485008120536804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42678511142730713},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.40567588806152344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40385133028030396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3899904489517212},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3679081201553345},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3544682264328003},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3360411822795868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3216840922832489},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1510487198829651},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.cnsns.2014.06.027","doi":"https://doi.org/10.1016/j.cnsns.2014.06.027","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2014.06.027","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.6686","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.6686","pdf_url":"https://arxiv.org/pdf/1409.6686","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.740.6275","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.740.6275","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1409.6686.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1409.6686","doi":"https://doi.org/10.48550/arxiv.1409.6686","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1409.6686","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.6686","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.6686","pdf_url":"https://arxiv.org/pdf/1409.6686","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7944470244","display_name":null,"funder_award_id":"RG21/2013-2014R","funder_id":"https://openalex.org/F4320322867","funder_display_name":"Hong Kong Institute of Education"}],"funders":[{"id":"https://openalex.org/F4320322867","display_name":"Hong Kong Institute of Education","ror":"https://ror.org/000t0f062"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W380797202","https://openalex.org/W646794073","https://openalex.org/W1537383557","https://openalex.org/W1552375837","https://openalex.org/W1565177988","https://openalex.org/W1565688698","https://openalex.org/W1573547614","https://openalex.org/W1963839933","https://openalex.org/W1990657316","https://openalex.org/W1995884258","https://openalex.org/W2017172798","https://openalex.org/W2044616842","https://openalex.org/W2047384980","https://openalex.org/W2090713175","https://openalex.org/W2095062915","https://openalex.org/W2155805795","https://openalex.org/W2157041555","https://openalex.org/W2477789102","https://openalex.org/W2963038983","https://openalex.org/W3105735755","https://openalex.org/W3127727104","https://openalex.org/W3141151088","https://openalex.org/W4210647142","https://openalex.org/W4243062816","https://openalex.org/W6632102023","https://openalex.org/W6633866452","https://openalex.org/W6721020326","https://openalex.org/W6832202146"],"related_works":["https://openalex.org/W1987593498","https://openalex.org/W171739255","https://openalex.org/W2027745255","https://openalex.org/W2931831557","https://openalex.org/W2563697776","https://openalex.org/W3124634719","https://openalex.org/W4300998095","https://openalex.org/W1498128986","https://openalex.org/W4297915718","https://openalex.org/W2388608635"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2016-06-24T00:00:00"}
