{"id":"https://openalex.org/W2104126087","doi":"https://doi.org/10.1007/s00332-016-9333-6","title":"Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit","display_name":"Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit","publication_year":2016,"publication_date":"2016-09-23","ids":{"openalex":"https://openalex.org/W2104126087","doi":"https://doi.org/10.1007/s00332-016-9333-6","mag":"2104126087"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-016-9333-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-016-9333-6","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/1503.01154","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Blake Barker","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Blake Barker","raw_affiliation_strings":["Brigham Young University, Provo, USA","Brigham Young University, Provo, UT, 84602, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Brigham Young University, Provo, USA","institution_ids":["https://openalex.org/I100005738"]},{"raw_affiliation_string":"Brigham Young University, Provo, UT, 84602, USA","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mathew A. Johnson","orcid":null},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mathew A. Johnson","raw_affiliation_strings":["University of Kansas, Lawrence, KS, 66045, USA","University of Kansas, Lawrence, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kansas, Lawrence, KS, 66045, USA","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"University of Kansas, Lawrence, USA","institution_ids":["https://openalex.org/I146416000"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Pascal Noble","orcid":null},"institutions":[{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pascal Noble","raw_affiliation_strings":["Institut de Math\u00e9matiques de Toulouse, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I84500057"]}]},{"author_position":"middle","author":{"id":null,"display_name":"L. Miguel Rodrigues","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Miguel Rodrigues","raw_affiliation_strings":["Universit\u00e9 de Rennes 1, IRMAR, Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Rennes 1, IRMAR, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210161663"]}]},{"author_position":"last","author":{"id":null,"display_name":"Kevin Zumbrun","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kevin Zumbrun","raw_affiliation_strings":["Indiana University, Bloomington, IN, 47405, USA","Indiana University, Bloomington, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indiana University, Bloomington, IN, 47405, USA","institution_ids":["https://openalex.org/I4210119109"]},{"raw_affiliation_string":"Indiana University, Bloomington, USA","institution_ids":["https://openalex.org/I4210119109"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100005738","https://openalex.org/I146416000","https://openalex.org/I4210119109","https://openalex.org/I4210161663","https://openalex.org/I56067802","https://openalex.org/I84500057"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.0339,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.89596186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"1","first_page":"285","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.3955000042915344,"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":0.3955000042915344,"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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.2361000031232834,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.13199999928474426,"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/froude-number","display_name":"Froude number","score":0.9527000188827515},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6324999928474426},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6039999723434448},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.5130000114440918},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.4666000008583069},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.45910000801086426},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.4537000060081482},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.391400009393692}],"concepts":[{"id":"https://openalex.org/C206835866","wikidata":"https://www.wikidata.org/wiki/Q273090","display_name":"Froude number","level":3,"score":0.9527000188827515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6593999862670898},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6324999928474426},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6039999723434448},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.5130000114440918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.510200023651123},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.4666000008583069},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.45910000801086426},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.4537000060081482},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.391400009393692},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.34929999709129333},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.34709998965263367},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.32510000467300415},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32030001282691956},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.2856999933719635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28540000319480896},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.27790001034736633},{"id":"https://openalex.org/C112766332","wikidata":"https://www.wikidata.org/wiki/Q4138087","display_name":"Hydrodynamic stability","level":4,"score":0.2743000090122223},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.27219998836517334},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2606000006198883},{"id":"https://openalex.org/C2989485891","wikidata":"https://www.wikidata.org/wiki/Q56291844","display_name":"Viscous damping","level":3,"score":0.2549000084400177},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25290000438690186}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-016-9333-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-016-9333-6","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:1503.01154","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.01154","pdf_url":"https://arxiv.org/pdf/1503.01154","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:1503.01154","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.01154","pdf_url":"https://arxiv.org/pdf/1503.01154","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":[{"id":"https://openalex.org/G3566351602","display_name":"Boundaries, Numerics, Dispersion","funder_award_id":"ANR-13-BS01-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8390167235","display_name":"Ecoulement de Fluides Complexes \u2018en eaux peu profondes\u2019: analyse math\u00e9matique et applications","funder_award_id":"ANR-09-JCJC-0103","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W140674095","https://openalex.org/W360456325","https://openalex.org/W599360656","https://openalex.org/W1510014639","https://openalex.org/W1542370041","https://openalex.org/W1672649625","https://openalex.org/W1966851011","https://openalex.org/W1968024813","https://openalex.org/W1971223622","https://openalex.org/W1982999858","https://openalex.org/W1987142695","https://openalex.org/W1990735293","https://openalex.org/W1997268683","https://openalex.org/W2007356002","https://openalex.org/W2010115551","https://openalex.org/W2011050494","https://openalex.org/W2013238203","https://openalex.org/W2018448212","https://openalex.org/W2025706422","https://openalex.org/W2030825811","https://openalex.org/W2044772350","https://openalex.org/W2045661168","https://openalex.org/W2048507853","https://openalex.org/W2051466114","https://openalex.org/W2058472500","https://openalex.org/W2059999403","https://openalex.org/W2063280407","https://openalex.org/W2063937910","https://openalex.org/W2067324485","https://openalex.org/W2067406707","https://openalex.org/W2071348013","https://openalex.org/W2081996556","https://openalex.org/W2086829188","https://openalex.org/W2092999826","https://openalex.org/W2095831477","https://openalex.org/W2102032362","https://openalex.org/W2103182746","https://openalex.org/W2109997600","https://openalex.org/W2111127002","https://openalex.org/W2115171184","https://openalex.org/W2118173482","https://openalex.org/W2120034185","https://openalex.org/W2124435400","https://openalex.org/W2127395668","https://openalex.org/W2129784478","https://openalex.org/W2130166798","https://openalex.org/W2141234492","https://openalex.org/W2144909291","https://openalex.org/W2155687491","https://openalex.org/W2275968252","https://openalex.org/W2510520301","https://openalex.org/W2963661406","https://openalex.org/W2964159115","https://openalex.org/W4235132574","https://openalex.org/W4243337117","https://openalex.org/W4254952218","https://openalex.org/W4298879597","https://openalex.org/W6604435517"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}