{"id":"https://openalex.org/W3034177231","doi":"https://doi.org/10.1142/s0218127420500819","title":"Dynamics of Convective Thermal Explosion in Porous Media","display_name":"Dynamics of Convective Thermal Explosion in Porous Media","publication_year":2020,"publication_date":"2020-05-01","ids":{"openalex":"https://openalex.org/W3034177231","doi":"https://doi.org/10.1142/s0218127420500819","mag":"3034177231"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420500819","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500819","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5050987901","display_name":"Karam Allali","orcid":"https://orcid.org/0000-0002-9463-4295"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karam Allali","raw_affiliation_strings":["Laboratory of Mathematics and Applications, University Hassan II of Casablanca, FST Mohammedia, P.O. Box 146, 20650, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, University Hassan II of Casablanca, FST Mohammedia, P.O. Box 146, 20650, Morocco","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001662953","display_name":"Youssef Joundy","orcid":"https://orcid.org/0000-0002-4641-3244"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Youssef Joundy","raw_affiliation_strings":["Laboratory of Mathematics and Applications, University Hassan II of Casablanca, FST Mohammedia, P.O. Box 146, 20650, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-4641-3244","affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, University Hassan II of Casablanca, FST Mohammedia, P.O. Box 146, 20650, Morocco","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047352966","display_name":"Ahmed Taik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131560","display_name":"Universit\u00e9 Mohammed VI Polytechnique","ror":"https://ror.org/03xc55g68","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210131560"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Ahmed Taik","raw_affiliation_strings":["Complex Systems Engineering and Human Systems, Mohammed VI Polytechnic University, Benguerir, Morocco","Laboratory of Mathematics and Applications, University Hassan II of Casablanca, FST Mohammedia, P.O. Box 146, 20650, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Complex Systems Engineering and Human Systems, Mohammed VI Polytechnic University, Benguerir, Morocco","institution_ids":["https://openalex.org/I4210131560"]},{"raw_affiliation_string":"Laboratory of Mathematics and Applications, University Hassan II of Casablanca, FST Mohammedia, P.O. Box 146, 20650, Morocco","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045766768","display_name":"Vitaly Volpert","orcid":"https://orcid.org/0000-0002-5323-9934"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR","RU"],"is_corresponding":false,"raw_author_name":"Vitaly Volpert","raw_affiliation_strings":["INRIA, Universit\u00e9 de Lyon, Universit\u00e9 Lyon1, Institut Camille Jordan, 43, Bd. du 11 Novembre 1918, 69622 Villeurbanne, Cedex, France","Institut Camille Jordan, Universit\u00e9 Claude Bernard Lyon1, UMR 5208, CNRS, 69622, Villeurbanne, Cedex, France","People\u2019s Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation","Multi-scale modelling of cell dynamics : application to hematopoiesis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA, Universit\u00e9 de Lyon, Universit\u00e9 Lyon1, Institut Camille Jordan, 43, Bd. du 11 Novembre 1918, 69622 Villeurbanne, Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210104796","https://openalex.org/I100532134"]},{"raw_affiliation_string":"Institut Camille Jordan, Universit\u00e9 Claude Bernard Lyon1, UMR 5208, CNRS, 69622, Villeurbanne, Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210104796","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"People\u2019s Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Multi-scale modelling of cell dynamics : application to hematopoiesis","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3533,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87922661,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"06","first_page":"2050081","last_page":"2050081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9742000102996826,"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":0.9742000102996826,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.97079998254776,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9678999781608582,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.8083106875419617},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6955260634422302},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6821065545082092},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.6333358287811279},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.5218583345413208},{"id":"https://openalex.org/keywords/convective-heat-transfer","display_name":"Convective heat transfer","score":0.508857250213623},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.492211252450943},{"id":"https://openalex.org/keywords/natural-convection","display_name":"Natural convection","score":0.46062248945236206},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.42589670419692993},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4227811098098755},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4210087060928345},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.42017993330955505},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34424471855163574},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3431355953216553},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.28971049189567566},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.1552785336971283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0998554527759552}],"concepts":[{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.8083106875419617},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6955260634422302},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6821065545082092},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.6333358287811279},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.5218583345413208},{"id":"https://openalex.org/C41231900","wikidata":"https://www.wikidata.org/wiki/Q918227","display_name":"Convective heat transfer","level":3,"score":0.508857250213623},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.492211252450943},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.46062248945236206},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.42589670419692993},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4227811098098755},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4210087060928345},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.42017993330955505},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34424471855163574},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3431355953216553},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.28971049189567566},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.1552785336971283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0998554527759552},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127420500819","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500819","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03029317v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03029317","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":"International journal of bifurcation and chaos in applied sciences and engineering , 2020, 30 (06), pp.2050081. &#x27E8;10.1142/S0218127420500819&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W43992156","https://openalex.org/W183319324","https://openalex.org/W1515753283","https://openalex.org/W1966264682","https://openalex.org/W1967755877","https://openalex.org/W1971519787","https://openalex.org/W2006292600","https://openalex.org/W2006914436","https://openalex.org/W2011132424","https://openalex.org/W2011692688","https://openalex.org/W2011805320","https://openalex.org/W2023896139","https://openalex.org/W2039402388","https://openalex.org/W2077785527","https://openalex.org/W2092765810","https://openalex.org/W2093975448","https://openalex.org/W2095412873","https://openalex.org/W2095769364","https://openalex.org/W2108636649","https://openalex.org/W2133225357","https://openalex.org/W2165510765","https://openalex.org/W2168711358","https://openalex.org/W2617922907","https://openalex.org/W2797073172","https://openalex.org/W4300059230"],"related_works":["https://openalex.org/W2394378695","https://openalex.org/W80055244","https://openalex.org/W788041681","https://openalex.org/W939903898","https://openalex.org/W2004708907","https://openalex.org/W2377429601","https://openalex.org/W2386043911","https://openalex.org/W2077866168","https://openalex.org/W640278170","https://openalex.org/W2267586737"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"complex":[5,57],"dynamics":[6,58],"of":[7,59,68],"the":[8,24,30,35,50,85],"interaction":[9],"between":[10],"natural":[11],"convection":[12],"and":[13,61],"thermal":[14,96],"explosion":[15],"in":[16,43],"porous":[17,41],"media.":[18],"This":[19],"process":[20],"is":[21],"modeled":[22],"with":[23,29,49,76],"nonlinear":[25],"heat":[26],"equation":[27,33],"coupled":[28],"nonstationary":[31],"Darcy":[32],"under":[34],"Boussinesq":[36],"approximation":[37],"for":[38],"a":[39,44,66,89],"fluid-saturated":[40],"medium":[42],"rectangular":[45],"domain.":[46],"Numerical":[47],"simulations":[48],"Radial":[51],"Basis":[52],"Functions":[53],"Method":[54],"(RBFM)":[55],"reveal":[56],"solutions":[60],"transitions":[62],"to":[63,80,95],"chaos":[64],"after":[65],"sequence":[67],"period":[69],"doubling":[70],"bifurcations.":[71],"Several":[72],"periodic":[73,91],"windows":[74],"alternate":[75],"chaotic":[77,87],"regimes":[78],"due":[79],"intermittence":[81],"or":[82],"crisis.":[83],"After":[84],"last":[86],"regime,":[88],"final":[90],"solution":[92],"precedes":[93],"transition":[94],"explosion.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
