{"id":"https://openalex.org/W7223047481","doi":"https://doi.org/10.48550/arxiv.2610.26559","title":"Vorticity growth beyond bounded relative vorticity for axisymmetric Euler flows without swirl","display_name":"Vorticity growth beyond bounded relative vorticity for axisymmetric Euler flows without swirl","publication_year":2026,"publication_date":"2026-10-19","ids":{"openalex":"https://openalex.org/W7223047481","doi":"https://doi.org/10.48550/arxiv.2610.26559"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.26559","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.26559","pdf_url":"https://arxiv.org/pdf/2610.26559","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.26559","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120843938","display_name":"Khakim Egamberganov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Egamberganov, Khakim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5120843938"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9976000189781189,"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":0.9976000189781189,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.00039999998989515007,"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":0.0003000000142492354,"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/vorticity-growth","display_name":"vorticity growth","score":0.8859999775886536},{"id":"https://openalex.org/keywords/relative-vorticity","display_name":"relative vorticity","score":0.8980000019073486},{"id":"https://openalex.org/keywords/three-dimensional-incompressible-flow","display_name":"three-dimensional incompressible flow","score":0.7789999842643738}],"concepts":[{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.8845000267028809},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.6952999830245972},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.676800012588501},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4941999912261963},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4503999948501587},{"id":"https://openalex.org/C162157250","wikidata":"https://www.wikidata.org/wiki/Q3730817","display_name":"Vorticity equation","level":4,"score":0.44279998540878296},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43290001153945923},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.42579999566078186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.415800005197525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4027999937534332},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.3774999976158142},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3467999994754791},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33250001072883606},{"id":"https://openalex.org/C56751440","wikidata":"https://www.wikidata.org/wiki/Q16000060","display_name":"Burgers vortex","level":4,"score":0.3303999900817871},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C157331469","wikidata":"https://www.wikidata.org/wiki/Q1418563","display_name":"Potential vorticity","level":4,"score":0.2685000002384186},{"id":"https://openalex.org/C91432469","wikidata":"https://www.wikidata.org/wiki/Q7941936","display_name":"Vortex stretching","level":4,"score":0.2619999945163727}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.26559","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.26559","pdf_url":"https://arxiv.org/pdf/2610.26559","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.2610.26559","doi":"https://doi.org/10.48550/arxiv.2610.26559","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.26559","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":"pmh:oai:arXiv.org:2610.26559","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.26559","pdf_url":"https://arxiv.org/pdf/2610.26559","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223047481.pdf","grobid_xml":"https://content.openalex.org/works/W7223047481.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W4416021344","https://openalex.org/W4417459271","https://openalex.org/W7135015077","https://openalex.org/W7161236379","https://openalex.org/W7161285130","https://openalex.org/W7161735026","https://openalex.org/W7161773235","https://openalex.org/W7220409167"],"related_works":["https://openalex.org/W4417459271","https://openalex.org/W4410242993","https://openalex.org/W7096379599","https://openalex.org/W7171997786","https://openalex.org/W2013917774","https://openalex.org/W2784424873","https://openalex.org/W1972995109","https://openalex.org/W4416021344","https://openalex.org/W1969346959","https://openalex.org/W2078074547"],"abstract_inverted_index":{"We":[0],"establish":[1],"upper":[2],"bounds":[3],"for":[4],"vorticity":[5,22],"and":[6],"related":[7],"quantities":[8],"in":[9,15],"axisymmetric":[10],"Euler":[11],"flows":[12],"without":[13],"swirl":[14],"$\\mathbb{R}^3$,":[16],"assuming":[17],"that":[18],"the":[19],"initial":[20],"relative":[21],"$\u03c9_0/r$":[23],"belongs":[24],"to":[25],"$L^1\\cap":[26],"L^p$":[27],"with":[28],"$3":[29]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-21T00:00:00"}