{"id":"https://openalex.org/W2082091174","doi":"https://doi.org/10.1007/s00332-014-9208-7","title":"Groebner Basis Methods for Stationary Solutions of a Low-Dimensional Model for a Shear Flow","display_name":"Groebner Basis Methods for Stationary Solutions of a Low-Dimensional Model for a Shear Flow","publication_year":2014,"publication_date":"2014-07-18","ids":{"openalex":"https://openalex.org/W2082091174","doi":"https://doi.org/10.1007/s00332-014-9208-7","mag":"2082091174"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-014-9208-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-014-9208-7","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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 Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1404.0596","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Marina Pausch","orcid":null},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marina Pausch","raw_affiliation_strings":["Fachbereich Physik, Philipps-Universit\u00e4t Marburg, 35032\u00a0, Marburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Physik, Philipps-Universit\u00e4t Marburg, 35032\u00a0, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Florian Grossmann","orcid":null},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Grossmann","raw_affiliation_strings":["Fachbereich Physik, Philipps-Universit\u00e4t Marburg, 35032\u00a0, Marburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Physik, Philipps-Universit\u00e4t Marburg, 35032\u00a0, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bruno Eckhardt","orcid":null},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bruno Eckhardt","raw_affiliation_strings":["Fachbereich Physik, Philipps-Universit\u00e4t Marburg, 35032\u00a0, Marburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Physik, Philipps-Universit\u00e4t Marburg, 35032\u00a0, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"last","author":{"id":null,"display_name":"Valery G. Romanovski","orcid":null},"institutions":[{"id":"https://openalex.org/I37696226","display_name":"University of Maribor","ror":"https://ror.org/01d5jce07","country_code":"SI","type":"education","lineage":["https://openalex.org/I37696226"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Valery G. Romanovski","raw_affiliation_strings":["Center for Applied Mathematics and Theoretical Physics (CAMTP), University of Maribor, Krekova 2, 2000\u00a0, Maribor, Slovenia","Faculty of Natural Science and Mathematics, University of Maribor, Koro\u0161ka cesta 160, 2000\u00a0, Maribor, Slovenia"],"affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics and Theoretical Physics (CAMTP), University of Maribor, Krekova 2, 2000\u00a0, Maribor, Slovenia","institution_ids":["https://openalex.org/I37696226"]},{"raw_affiliation_string":"Faculty of Natural Science and Mathematics, University of Maribor, Koro\u0161ka cesta 160, 2000\u00a0, Maribor, Slovenia","institution_ids":["https://openalex.org/I37696226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161103922"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2395,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58094173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"5","first_page":"935","last_page":"948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.11010000109672546,"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":0.11010000109672546,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.09880000352859497,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.08749999850988388,"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/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.8019999861717224},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6460000276565552},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6396999955177307},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5884000062942505},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5490999817848206},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4278999865055084},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.37059998512268066}],"concepts":[{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.8019999861717224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7350999712944031},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6460000276565552},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6396999955177307},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5884000062942505},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5490999817848206},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.482699990272522},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4278999865055084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3995000123977661},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.37059998512268066},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.3634999990463257},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C135768490","wikidata":"https://www.wikidata.org/wiki/Q2250602","display_name":"Shear flow","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C148607811","wikidata":"https://www.wikidata.org/wiki/Q746863","display_name":"Algebraic function","level":3,"score":0.2614000141620636},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.25029999017715454}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-014-9208-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-014-9208-7","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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 Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1404.0596","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.0596","pdf_url":"https://arxiv.org/pdf/1404.0596","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1404.0596","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.0596","pdf_url":"https://arxiv.org/pdf/1404.0596","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1912930600","https://openalex.org/W1988680134","https://openalex.org/W2004746351","https://openalex.org/W2007316486","https://openalex.org/W2010410642","https://openalex.org/W2025889762","https://openalex.org/W2044887483","https://openalex.org/W2061715373","https://openalex.org/W2068310052","https://openalex.org/W2086085728","https://openalex.org/W2093520281","https://openalex.org/W2098345383","https://openalex.org/W2121324809","https://openalex.org/W2128387473","https://openalex.org/W2172136395","https://openalex.org/W2497754766","https://openalex.org/W4243098353","https://openalex.org/W4250501683"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
