{"id":"https://openalex.org/W1827315106","doi":"https://doi.org/10.1137/140957640","title":"Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution","display_name":"Heat-Conducting, Compressible Mixtures with Multicomponent Diffusion: Construction of a Weak Solution","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1827315106","doi":"https://doi.org/10.1137/140957640","mag":"1827315106"},"language":"en","primary_location":{"id":"doi:10.1137/140957640","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140957640","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/1401.5112","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5104090159","display_name":"Piotr Bogs\u0142aw Mucha","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"P. B. Mucha","raw_affiliation_strings":["University of Warsaw"],"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101751431","display_name":"Milan Pokorn\u00fd","orcid":"https://orcid.org/0000-0003-3526-5220"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"M. Pokorn\u00fd","raw_affiliation_strings":["Charles University in Prague"],"affiliations":[{"raw_affiliation_string":"Charles University in Prague","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087808189","display_name":"Ewelina Zatorska","orcid":"https://orcid.org/0000-0003-0468-4975"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"E. Zatorska","raw_affiliation_strings":["University of Warsaw"],"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5104090159"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":1.576,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80465137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"47","issue":"5","first_page":"3747","last_page":"3797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9997000098228455,"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":0.9997000098228455,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9955999851226807,"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":0.9945999979972839,"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/compressibility","display_name":"Compressibility","score":0.7512065768241882},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.7005293965339661},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.615037739276886},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5904958248138428},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5540058612823486},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5143722295761108},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4890492856502533},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.4455326199531555},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43355071544647217},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4290936291217804},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.4212648868560791},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3417378067970276},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.32782065868377686},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.31702184677124023},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3140330910682678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2764865756034851},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07404324412345886}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7512065768241882},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7005293965339661},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.615037739276886},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5904958248138428},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5540058612823486},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5143722295761108},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4890492856502533},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.4455326199531555},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43355071544647217},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4290936291217804},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4212648868560791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3417378067970276},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32782065868377686},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.31702184677124023},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3140330910682678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2764865756034851},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07404324412345886},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/140957640","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140957640","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:1401.5112","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.5112","pdf_url":"https://arxiv.org/pdf/1401.5112","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:1827315106","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1401.5112.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:eprints.ucl.ac.uk.OAI2:10034976","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10034976/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"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 Mathematical Analysis , 47  (5)   pp. 3747-3797.   (2015)      ","raw_type":"Article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/41363","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/41363","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"3797","raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.1401.5112","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1401.5112","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:1401.5112","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.5112","pdf_url":"https://arxiv.org/pdf/1401.5112","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":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.5099999904632568}],"awards":[{"id":"https://openalex.org/G3848063861","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5803244198","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"}],"funders":[{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W1827315106.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W998550798","https://openalex.org/W1501132267","https://openalex.org/W1622685039","https://openalex.org/W1963563217","https://openalex.org/W1965775966","https://openalex.org/W1977068700","https://openalex.org/W1979870967","https://openalex.org/W1985645807","https://openalex.org/W1989231059","https://openalex.org/W1997482974","https://openalex.org/W2002037473","https://openalex.org/W2016323081","https://openalex.org/W2024482949","https://openalex.org/W2030587235","https://openalex.org/W2035564336","https://openalex.org/W2044927962","https://openalex.org/W2052929728","https://openalex.org/W2057711336","https://openalex.org/W2067175014","https://openalex.org/W2069255434","https://openalex.org/W2078187711","https://openalex.org/W2082311321","https://openalex.org/W2084095733","https://openalex.org/W2085033922","https://openalex.org/W2127065883","https://openalex.org/W2129819395","https://openalex.org/W2132340123","https://openalex.org/W2132751759","https://openalex.org/W2147745335","https://openalex.org/W2150843460","https://openalex.org/W2169991974","https://openalex.org/W2318610185","https://openalex.org/W2369386221","https://openalex.org/W2949168373","https://openalex.org/W2950084587","https://openalex.org/W2952438181","https://openalex.org/W2963305043"],"related_works":["https://openalex.org/W1963563217","https://openalex.org/W2002037473","https://openalex.org/W3125595206","https://openalex.org/W3037506536","https://openalex.org/W1977650240","https://openalex.org/W2067775676","https://openalex.org/W2033623040","https://openalex.org/W2027743024","https://openalex.org/W3120047466","https://openalex.org/W2002293443","https://openalex.org/W2015820748","https://openalex.org/W2002361740","https://openalex.org/W1984379708","https://openalex.org/W3008824946","https://openalex.org/W2998051709","https://openalex.org/W3028857953","https://openalex.org/W2037869561","https://openalex.org/W2014009866","https://openalex.org/W574756783","https://openalex.org/W2054411030"],"abstract_inverted_index":{"We":[0],"investigate":[1],"a":[2,20,34],"coupling":[3],"between":[4],"the":[5,10,17,37,51,58],"compressible":[6],"Navier--Stokes--Fourier":[7],"system":[8],"and":[9,36],"full":[11],"Maxwell--Stefan":[12],"equations.":[13],"This":[14],"model":[15],"describes":[16],"motion":[18],"of":[19,47,54],"chemically":[21],"reacting":[22],"heat-conducting":[23],"gaseous":[24],"mixture.":[25],"The":[26],"viscosity":[27],"coefficients":[28],"are":[29],"density-dependent":[30],"functions":[31],"vanishing":[32],"in":[33],"vacuum":[35],"internal":[38],"pressure":[39],"depends":[40],"on":[41,57],"species":[42],"concentrations.":[43],"By":[44],"several":[45],"levels":[46],"approximation":[48],"we":[49],"prove":[50],"global-in-time":[52],"existence":[53],"weak":[55],"solutions":[56],"three-dimensional":[59],"torus.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2022-10-01T00:00:00"}
