{"id":"https://openalex.org/W4416593000","doi":"https://doi.org/10.1016/j.jde.2026.114874","title":"Fully localised three-dimensional solitary water waves on Beltrami flows with strong surface tension","display_name":"Fully localised three-dimensional solitary water waves on Beltrami flows with strong surface tension","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W4416593000","doi":"https://doi.org/10.1016/j.jde.2026.114874"},"language":"en","primary_location":{"id":"doi:10.1016/j.jde.2026.114874","doi":"https://doi.org/10.1016/j.jde.2026.114874","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2026.114874","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jde.2026.114874","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047582263","display_name":"M. D. Groves","orcid":"https://orcid.org/0000-0002-9335-5809","observed_orcids":["https://orcid.org/0000-0002-9335-5809"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M.D. Groves","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9335-5809","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045095121","display_name":"Erik Wahl\u00e9n","orcid":"https://orcid.org/0000-0002-9495-0642","observed_orcids":["https://orcid.org/0000-0002-9495-0642"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E. Wahl\u00e9n","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9495-0642","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":{"value":3550,"currency":"USD","value_usd":3550},"fwci":2.6114,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85274323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":92,"max":95},"biblio":{"volume":"487","issue":null,"first_page":"114874","last_page":"114874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.92330002784729,"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":0.92330002784729,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.06759999692440033,"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"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.00139999995008111,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/beltrami-flow","display_name":"Beltrami flow","score":0.7850000262260437},{"id":"https://openalex.org/keywords/surface-tension","display_name":"surface tension","score":0.828000009059906},{"id":"https://openalex.org/keywords/relative-vorticity","display_name":"relative vorticity","score":0.7229999899864197},{"id":"https://openalex.org/keywords/free-surface","display_name":"free surface","score":0.492000013589859},{"id":"https://openalex.org/keywords/existence-theory","display_name":"existence theory","score":0.5600000023841858},{"id":"https://openalex.org/keywords/implicit-function-theorem","display_name":"implicit function theorem","score":0.7120000123977661},{"id":"https://openalex.org/keywords/steady-water-waves","display_name":"steady water waves","score":0.7229999899864197}],"concepts":[{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.551800012588501},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5278000235557556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5062000155448914},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.49559998512268066},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4921000003814697},{"id":"https://openalex.org/C84174578","wikidata":"https://www.wikidata.org/wiki/Q889796","display_name":"Surface wave","level":2,"score":0.4722999930381775},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4523000121116638},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.45159998536109924},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.3937000036239624},{"id":"https://openalex.org/C39557679","wikidata":"https://www.wikidata.org/wiki/Q2307937","display_name":"Love wave","level":5,"score":0.37400001287460327},{"id":"https://openalex.org/C18932819","wikidata":"https://www.wikidata.org/wiki/Q2029236","display_name":"Stream function","level":4,"score":0.3553999960422516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3522999882698059},{"id":"https://openalex.org/C185975314","wikidata":"https://www.wikidata.org/wiki/Q599451","display_name":"Gravity wave","level":3,"score":0.34470000863075256},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C146864707","wikidata":"https://www.wikidata.org/wiki/Q382774","display_name":"Internal wave","level":2,"score":0.305400013923645},{"id":"https://openalex.org/C162157250","wikidata":"https://www.wikidata.org/wiki/Q3730817","display_name":"Vorticity equation","level":4,"score":0.29840001463890076},{"id":"https://openalex.org/C43179477","wikidata":"https://www.wikidata.org/wiki/Q1132631","display_name":"Mechanical wave","level":4,"score":0.29330000281333923},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C186068551","wikidata":"https://www.wikidata.org/wiki/Q13255585","display_name":"Tension (geology)","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C143351421","wikidata":"https://www.wikidata.org/wiki/Q626707","display_name":"Longitudinal wave","level":3,"score":0.2558000087738037},{"id":"https://openalex.org/C169596890","wikidata":"https://www.wikidata.org/wiki/Q661247","display_name":"Breaking wave","level":3,"score":0.25040000677108765}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.jde.2026.114874","doi":"https://doi.org/10.1016/j.jde.2026.114874","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2026.114874","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2511.16843","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2511.16843","pdf_url":"https://arxiv.org/pdf/2511.16843","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":"doi:10.48550/arxiv.2511.16843","doi":"https://doi.org/10.48550/arxiv.2511.16843","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.16843","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.jde.2026.114874","doi":"https://doi.org/10.1016/j.jde.2026.114874","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2026.114874","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7421836113","display_name":"From water waves to fusion - mathematical analysis of steady ideal flows","funder_award_id":"2020-00440","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416593000.pdf","grobid_xml":"https://content.openalex.org/works/W4416593000.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3194750562","https://openalex.org/W2314410240","https://openalex.org/W2035598054","https://openalex.org/W2148262622","https://openalex.org/W2105267293","https://openalex.org/W4415054992","https://openalex.org/W2620991572","https://openalex.org/W1975208406","https://openalex.org/W2949835216","https://openalex.org/W2029090452"],"abstract_inverted_index":{"Fully":[0],"localised":[1,101],"three-dimensional":[2],"solitary":[3],"waves":[4,8,24],"are":[5,10,35,70],"steady":[6],"water":[7,45],"which":[9,78],"evanescent":[11],"in":[12],"every":[13],"horizontal":[14],"direction.":[15],"This":[16,89],"paper":[17],"presents":[18],"an":[19,104],"existence":[20],"theory":[21],"for":[22,50,76],"such":[23],"under":[25,118],"the":[26,29,40,44,47,59,86,111],"assumptions":[27],"that":[28,39,58,115],"relative":[30],"vorticity":[31],"and":[32,57,103],"velocity":[33],"fields":[34],"parallel":[36],"(`Beltrami":[37],"flows'),":[38],"free":[41],"surface":[42,62],"of":[43,61,85,99,106,110],"takes":[46],"form":[48],"$\\{z=\u03b7(x,y)\\}$":[49],"some":[51],"function":[52],"$\u03b7:":[53],"{\\mathbb":[54],"R}^2\\rightarrow{\\mathbb":[55],"R}$,":[56],"influence":[60],"tension":[63],"is":[64,79],"sufficiently":[65],"strong.":[66],"The":[67],"governing":[68],"equations":[69],"formulated":[71],"as":[72],"a":[73,83,97,107],"single":[74],"equation":[75,90],"$\u03b7$,":[77],"then":[80],"reduced":[81],"to":[82,95],"perturbation":[84],"KP-I":[87],"equation.":[88],"has":[91],"recently":[92],"been":[93],"shown":[94],"have":[96],"family":[98],"nondegenerate":[100],"solutions,":[102],"application":[105],"suitable":[108],"variant":[109],"implicit-function":[112],"theorem":[113],"shows":[114],"they":[116],"persist":[117],"perturbations.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-11-25T00:00:00"}
