{"id":"https://openalex.org/W2035739948","doi":"https://doi.org/10.1137/110849791","title":"Enhanced Life Span of Smooth Solutions of a Burgers--Hilbert Equation","display_name":"Enhanced Life Span of Smooth Solutions of a Burgers--Hilbert Equation","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2035739948","doi":"https://doi.org/10.1137/110849791","mag":"2035739948"},"language":"en","primary_location":{"id":"doi:10.1137/110849791","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110849791","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1112.0813","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054838276","display_name":"John K. Hunter","orcid":"https://orcid.org/0000-0002-4224-3583"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John K. Hunter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008099751","display_name":"Mihaela Ifrim","orcid":"https://orcid.org/0000-0002-0491-5174"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mihaela Ifrim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10153899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"44","issue":"3","first_page":"2039","last_page":"2052"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998000264167786,"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":0.9771000146865845,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.757125735282898},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.6831932663917542},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6790322065353394},{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.6576554775238037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6127256751060486},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.6025276184082031},{"id":"https://openalex.org/keywords/filamentation","display_name":"Filamentation","score":0.5607814788818359},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5339248180389404},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4679511785507202},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.4626714885234833},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.23446893692016602},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.190277099609375},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1314569115638733},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10286974906921387},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.0621110200881958}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.757125735282898},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.6831932663917542},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6790322065353394},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.6576554775238037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6127256751060486},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.6025276184082031},{"id":"https://openalex.org/C4907923","wikidata":"https://www.wikidata.org/wiki/Q5448273","display_name":"Filamentation","level":3,"score":0.5607814788818359},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5339248180389404},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4679511785507202},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.4626714885234833},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.23446893692016602},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.190277099609375},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1314569115638733},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10286974906921387},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.0621110200881958},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/110849791","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110849791","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1112.0813","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1112.0813","pdf_url":"https://arxiv.org/pdf/1112.0813","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":"","raw_type":"text"},{"id":"mag:2035739948","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1112.0813.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.756.8730","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.8730","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/1112.0813.pdf","raw_type":"text"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt4wv9p44v","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/4wv9p44v","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:qt4wv9p44v","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/4wv9p44v","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hunter, John; &amp; Ifrim, Mihaela. (2011). Enhanced Lifespan of Smooth Solutions of a Burgers-Hilbert Equation. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/4wv9p44v","raw_type":"article"},{"id":"doi:10.48550/arxiv.1112.0813","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1112.0813","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1112.0813","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1112.0813","pdf_url":"https://arxiv.org/pdf/1112.0813","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3764201742","display_name":"Nonlinear wave propagation","funder_award_id":"0072343","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1984735519","https://openalex.org/W2030211848","https://openalex.org/W2061016471","https://openalex.org/W2074148845","https://openalex.org/W2077682338","https://openalex.org/W2167113113","https://openalex.org/W2168054043","https://openalex.org/W2468374235"],"related_works":["https://openalex.org/W1988973570","https://openalex.org/W2081599993","https://openalex.org/W2088823740","https://openalex.org/W1981968943","https://openalex.org/W2043651759","https://openalex.org/W3171511294","https://openalex.org/W2964033393","https://openalex.org/W2047440368","https://openalex.org/W2963354637","https://openalex.org/W1977690189","https://openalex.org/W2034223488","https://openalex.org/W3102186418","https://openalex.org/W2767342509","https://openalex.org/W2074148845","https://openalex.org/W2964344131","https://openalex.org/W2033655935","https://openalex.org/W2031676524","https://openalex.org/W1808975646","https://openalex.org/W2130511471","https://openalex.org/W2814249077"],"abstract_inverted_index":{"We":[0,20],"consider":[1],"an":[2],"initial":[3],"value":[4],"problem":[5],"for":[6],"a":[7,22,32,62],"quadratically":[8],"nonlinear":[9,51,64],"inviscid":[10],"Burgers--Hilbert":[11],"equation":[12],"that":[13,59],"models":[14],"the":[15,37,43,67],"motion":[16],"of":[17,31,36,45,69],"vorticity":[18,54],"discontinuities.":[19],"use":[21],"normal":[23],"form":[24],"transformation,":[25],"which":[26],"is":[27,61],"implemented":[28],"by":[29],"means":[30,58],"near-identity":[33],"coordinate":[34],"change":[35],"independent":[38],"spatial":[39],"variable,":[40],"to":[41],"prove":[42],"existence":[44],"small,":[46],"smooth":[47],"solutions":[48],"over":[49],"cubically":[50,63],"time-scales.":[52],"For":[53],"discontinuities,":[55],"this":[56],"result":[57],"there":[60],"time-scale":[65],"before":[66],"onset":[68],"filamentation.":[70]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
