{"id":"https://openalex.org/W2011805320","doi":"https://doi.org/10.1137/s0036139901389501","title":"Interaction of Thermal Explosion and Natural Convection: Critical Conditions and New Oscillating Regimes","display_name":"Interaction of Thermal Explosion and Natural Convection: Critical Conditions and New Oscillating Regimes","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2011805320","doi":"https://doi.org/10.1137/s0036139901389501","mag":"2011805320"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139901389501","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139901389501","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055196143","display_name":"Marc Massot","orcid":"https://orcid.org/0000-0001-8823-7667"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M. Massot","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon","institution_ids":["https://openalex.org/I4210155549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045079074","display_name":"St\u00e9phane G\u00e9nieys","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. G\u00e9nieys","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon","institution_ids":["https://openalex.org/I4210155549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057434448","display_name":"Thierry Dumont","orcid":"https://orcid.org/0000-0002-1204-7901"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Dumont","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Lyon","institution_ids":["https://openalex.org/I4210155549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045766768","display_name":"Vitaly Volpert","orcid":"https://orcid.org/0000-0002-5323-9934"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. A. Volpert","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055196143"],"corresponding_institution_ids":["https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":0.8221,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.71712086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":"1","first_page":"351","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14363","display_name":"Optical properties and cooling technologies in crystalline materials","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T14363","display_name":"Optical properties and cooling technologies in crystalline materials","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11619","display_name":"Combustion and Detonation Processes","score":0.9703999757766724,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9282000064849854,"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/natural-convection","display_name":"Natural convection","score":0.7674945592880249},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6050381064414978},{"id":"https://openalex.org/keywords/rayleigh-number","display_name":"Rayleigh number","score":0.5969729423522949},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5821219682693481},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5318842530250549},{"id":"https://openalex.org/keywords/adiabatic-process","display_name":"Adiabatic process","score":0.5058957934379578},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4956423044204712},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.4839044511318207},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4794986844062805},{"id":"https://openalex.org/keywords/boussinesq-approximation","display_name":"Boussinesq approximation (buoyancy)","score":0.4557788074016571},{"id":"https://openalex.org/keywords/stream-function","display_name":"Stream function","score":0.4497520625591278},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35539162158966064},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.31715360283851624}],"concepts":[{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.7674945592880249},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6050381064414978},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.5969729423522949},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5821219682693481},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5318842530250549},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.5058957934379578},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4956423044204712},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.4839044511318207},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4794986844062805},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.4557788074016571},{"id":"https://openalex.org/C18932819","wikidata":"https://www.wikidata.org/wiki/Q2029236","display_name":"Stream function","level":4,"score":0.4497520625591278},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35539162158966064},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.31715360283851624}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139901389501","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139901389501","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00232991v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00232991","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics, 2002, 63 (1), pp.351-372. &#x27E8;10.1137/S0036139901389501&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.5400000214576721,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W183319324","https://openalex.org/W246986821","https://openalex.org/W279567680","https://openalex.org/W1505931582","https://openalex.org/W1515753283","https://openalex.org/W1540969907","https://openalex.org/W1649030152","https://openalex.org/W1991878640","https://openalex.org/W2016961231","https://openalex.org/W2026436988","https://openalex.org/W2049923710","https://openalex.org/W2055931342","https://openalex.org/W2070147180","https://openalex.org/W2119807964","https://openalex.org/W2161233505","https://openalex.org/W2475583089","https://openalex.org/W2488271767","https://openalex.org/W2729020898","https://openalex.org/W2991415348","https://openalex.org/W4249273983","https://openalex.org/W4253939733","https://openalex.org/W4292329038"],"related_works":["https://openalex.org/W2002262682","https://openalex.org/W166162128","https://openalex.org/W2065801498","https://openalex.org/W2731857948","https://openalex.org/W131415422","https://openalex.org/W92300030","https://openalex.org/W2531228161","https://openalex.org/W2111130705","https://openalex.org/W4310379157","https://openalex.org/W1988220895"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,101,110,121,224],"investigate,":[4],"numerically":[5],"as":[6,8,128,130],"well":[7,129],"analytically,":[9],"the":[10,49,53,75,79,88,112,131,136,140,158,179,187,212,220,242,246],"influence":[11],"of":[12,82,135,160,173,214,232,245],"natural":[13,61],"convection":[14,47,215],"on":[15,150],"thermal":[16,167,174,200],"explosion":[17,168,175,191,201,221,255],"in":[18,78],"a":[19,25,103,226,230],"two-dimensional":[20],"square":[21],"vessel,":[22],"filled":[23],"with":[24,91,106,144],"reactant":[26],"mixture,":[27],"whose":[28],"vertical":[29],"walls":[30,35],"are":[31,36,71,176,184],"adiabatic":[32],"and":[33,120,162,181,192,256],"horizontal":[34],"infinitely":[37],"conducting,":[38],"preset":[39],"at":[40,52],"an":[41,92,145],"equal":[42],"temperature":[43],"T0":[44],".":[45],"Natural":[46],"enhances":[48],"heat":[50,89,108],"losses":[51],"boundaries":[54],"while":[55],"large":[56],"temperatures":[57],"tend":[58],"to":[59,73,87,186,210,219,240,250],"promote":[60],"convection,":[62],"thus":[63],"yielding":[64],"two":[65,233],"competitive":[66],"phenomena.":[67],"The":[68,154],"governing":[69],"equations":[70,77,236],"taken":[72],"be":[74],"Navier--Stokes":[76],"Oberbeck--Boussinesq":[80],"approximation":[81],"low":[83],"density":[84],"variations":[85],"coupled":[86],"equation":[90],"exponential":[93],"chemical":[94],"source":[95],"term.":[96],"This":[97],"is":[98,238],"valid":[99],"because":[100],"consider":[102],"1-step":[104],"reaction":[105],"high":[107,116],"release,":[109],"use":[111],"Frank-Kamenetskii":[113,180],"transformation":[114],"under":[115],"activation":[117],"energy":[118],"asymptotics,":[119],"do":[122],"not":[123,216],"take":[124],"into":[125],"account":[126],"thermo-diffusion":[127],"different":[132],"molar":[133],"masses":[134],"species.":[137],"We":[138],"solve":[139],"vorticity-stream":[141],"function-temperature":[142],"formulation":[143],"alternating":[146],"direction":[147],"numerical":[148,155],"method":[149],"finite":[151],"difference":[152],"approximations.":[153],"results":[156],"show":[157],"coexistence":[159],"1-vortex":[161],"2-vortex":[163],"regimes,":[164],"from":[165,198],"which":[166,199,237],"can":[169,196,202],"occur.":[170,204],"New":[171],"regimes":[172],"found":[177],"when":[178],"Rayleigh":[182],"parameters":[183],"close":[185,218,249],"critical":[188,251],"conditions":[189,252],"for":[190,253],"convection.":[193,257],"Periodic-in-time":[194],"solutions":[195],"exist":[197],"also":[203],"Linear":[205],"stability":[206],"analysis":[207],"allows":[208],"us":[209],"predict":[211],"onset":[213],"too":[217],"limit.":[222],"Finally,":[223],"propose":[225],"model":[227],"problem":[228],"through":[229],"system":[231,248],"ordinary":[234],"differential":[235],"able":[239],"reproduce":[241],"bifurcation":[243],"behavior":[244],"global":[247],"both":[254]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
