{"id":"https://openalex.org/W3090596984","doi":"https://doi.org/10.1137/20m1370793","title":"Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts","display_name":"Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3090596984","doi":"https://doi.org/10.1137/20m1370793","mag":"3090596984"},"language":"en","primary_location":{"id":"doi:10.1137/20m1370793","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1370793","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","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/2010.00737","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063561103","display_name":"David M. Ambrose","orcid":"https://orcid.org/0000-0003-4753-0319"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David M. Ambrose","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4753-0319","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028469213","display_name":"Fazel Hadadifard","orcid":"https://orcid.org/0000-0002-4339-8392"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fazel Hadadifard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017084784","display_name":"James Wright","orcid":"https://orcid.org/0009-0008-3205-8916"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Douglas Wright","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063561103"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4804,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64658958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"20","issue":"4","first_page":"2261","last_page":"2294"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9937999844551086,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/initial-value-problem","display_name":"Initial value problem","score":0.5971888303756714},{"id":"https://openalex.org/keywords/front","display_name":"Front (military)","score":0.5933939218521118},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5719066858291626},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.5491747856140137},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.5424391627311707},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5241948962211609},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4862174093723297},{"id":"https://openalex.org/keywords/approx","display_name":"Approx","score":0.4494466781616211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39760076999664307},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3551338315010071},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3443295657634735},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2759862542152405},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08716288208961487},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.08163690567016602},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07034578919410706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.060122668743133545}],"concepts":[{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5971888303756714},{"id":"https://openalex.org/C2777551076","wikidata":"https://www.wikidata.org/wiki/Q842332","display_name":"Front (military)","level":2,"score":0.5933939218521118},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5719066858291626},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.5491747856140137},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.5424391627311707},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5241948962211609},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4862174093723297},{"id":"https://openalex.org/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"score":0.4494466781616211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39760076999664307},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3551338315010071},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3443295657634735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2759862542152405},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08716288208961487},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.08163690567016602},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07034578919410706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.060122668743133545},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1370793","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1370793","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2010.00737","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.00737","pdf_url":"https://arxiv.org/pdf/2010.00737","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"},{"id":"mag:3090596984","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2010.00737.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":"doi:10.48550/arxiv.2010.00737","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2010.00737","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:2010.00737","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.00737","pdf_url":"https://arxiv.org/pdf/2010.00737","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":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3925850530","display_name":null,"funder_award_id":"DMS-1907684","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5449294377","display_name":null,"funder_award_id":"1907684","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6994811156","display_name":null,"funder_award_id":"DMS-1907684","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W7018611","https://openalex.org/W1964896841","https://openalex.org/W1982999858","https://openalex.org/W1989193049","https://openalex.org/W1990502362","https://openalex.org/W1992034214","https://openalex.org/W2009805948","https://openalex.org/W2012977752","https://openalex.org/W2015581894","https://openalex.org/W2024640674","https://openalex.org/W2028503567","https://openalex.org/W2029792495","https://openalex.org/W2041170998","https://openalex.org/W2043383000","https://openalex.org/W2046311911","https://openalex.org/W2075045755","https://openalex.org/W2079483380","https://openalex.org/W2082306300","https://openalex.org/W2112181160","https://openalex.org/W2115171184","https://openalex.org/W2131567068","https://openalex.org/W2137598555","https://openalex.org/W2137606648","https://openalex.org/W2140968478","https://openalex.org/W2333784759","https://openalex.org/W2571165551","https://openalex.org/W2596227855","https://openalex.org/W2963948023","https://openalex.org/W2969308867","https://openalex.org/W3204795010","https://openalex.org/W4240585022","https://openalex.org/W4297936281"],"related_works":["https://openalex.org/W1643254186","https://openalex.org/W1986085917","https://openalex.org/W2014446118","https://openalex.org/W3000531981","https://openalex.org/W2963948023","https://openalex.org/W2083483988","https://openalex.org/W2005462767","https://openalex.org/W2963599605","https://openalex.org/W2810303623","https://openalex.org/W3181738346","https://openalex.org/W3212524419","https://openalex.org/W2950403306","https://openalex.org/W1904393121","https://openalex.org/W2981506841","https://openalex.org/W2535486410","https://openalex.org/W1509215099","https://openalex.org/W2424214802","https://openalex.org/W2041451025","https://openalex.org/W1996255980","https://openalex.org/W2798924295"],"abstract_inverted_index":{"We":[0,28,42],"investigate":[1],"a":[2,16],"coordinate-free":[3,35],"model":[4,14],"of":[5,33,40,59],"flame":[6],"fronts":[7],"introduced":[8],"by":[9],"Frankel":[10],"and":[11],"Sivashinsky;":[12],"this":[13],"has":[15],"parameter":[17],"$\u03b1$":[18],"which":[19],"relates":[20],"to":[21,56],"how":[22],"unstable":[23],"the":[24,34,47,51,57,60,69],"front":[25],"might":[26],"be.":[27],"first":[29],"prove":[30],"short-time":[31],"well-posedness":[32],"model,":[36],"for":[37],"any":[38],"value":[39],"$\u03b1&gt;0.$":[41],"then":[43],"argue":[44],"that":[45],"near":[46],"threshold":[48],"$\u03b1\\approx":[49],"1,$":[50],"solution":[52,58],"stays":[53],"arbitrarily":[54],"close":[55],"weakly":[61],"nonlinear":[62],"Kuramoto--Sivashinsky":[63],"(KS)":[64],"equation,":[65],"as":[66,68],"long":[67],"initial":[70],"values":[71],"are":[72],"close.":[73]},"counts_by_year":[{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
