{"id":"https://openalex.org/W7162417042","doi":"https://doi.org/10.48550/arxiv.2605.24898","title":"Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows","display_name":"Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows","publication_year":2026,"publication_date":"2026-05-24","ids":{"openalex":"https://openalex.org/W7162417042","doi":"https://doi.org/10.48550/arxiv.2605.24898"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.24898","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24898","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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.24898","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137044413","display_name":"Jaya Agnihotri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Agnihotri, Jaya","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006640870","display_name":"Philipp \u00d6ffner","orcid":"https://orcid.org/0000-0002-1367-1917"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u00d6ffner, Philipp","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":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.4648999869823456,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.4648999869823456,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.2295999974012375,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.22020000219345093,"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/uniqueness","display_name":"Uniqueness","score":0.5471000075340271},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5023000240325928},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48750001192092896},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.47530001401901245},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4693000018596649},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.46459999680519104},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.4528999924659729},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.421099990606308},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4113999903202057},{"id":"https://openalex.org/keywords/weak-solution","display_name":"Weak solution","score":0.3971000015735626}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.782800018787384},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5967000126838684},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5471000075340271},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5023000240325928},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48750001192092896},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.47530001401901245},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4693000018596649},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.46459999680519104},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.4528999924659729},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.3971000015735626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39100000262260437},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.38370001316070557},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.38190001249313354},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.37790000438690186},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.37630000710487366},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.36899998784065247},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.36469998955726624},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.3564000129699707},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.3393000066280365},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C2781217745","wikidata":"https://www.wikidata.org/wiki/Q1053779","display_name":"Euler system","level":3,"score":0.31119999289512634},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.30169999599456787},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.27390000224113464},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C89397928","wikidata":"https://www.wikidata.org/wiki/Q1630320","display_name":"Unconditional convergence","level":5,"score":0.2549999952316284}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.24898","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24898","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":"doi:10.48550/arxiv.2605.24898","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24898","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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,6,30,57,163],"convergence":[3],"analysis":[4],"of":[5,20,78,85,108,111,162],"finite":[7],"volume":[8],"(FV)":[9],"scheme":[10,59,71],"for":[11,152],"the":[12,18,46,79,101,106,112,117,122,130,136,147],"multicomponent":[13,113],"compressible":[14],"Euler":[15,114],"system":[16],"in":[17,34,82,105],"framework":[19,33,107],"dissipative":[21],"weak":[22],"(DW)":[23],"solutions.":[24],"DW":[25,109],"solutions":[26,103,110,132],"were":[27],"introduced":[28],"as":[29,139,141],"generalized":[31],"solution":[32,138],"computational":[35],"fluid":[36,80],"dynamics":[37],"and":[38,63,89,95,121],"have":[39],"recently":[40],"gained":[41],"considerable":[42],"attention.":[43],"They":[44],"extend":[45],"well-known":[47],"Lax":[48],"Equivalence":[49],"Theorem":[50],"to":[51,135],"nonlinear":[52],"settings,":[53],"meaning":[54],"that":[55,100,129],"if":[56],"numerical":[58,102,160],"is":[60],"both":[61],"consistent":[62],"stable,":[64],"it":[65,142],"will":[66],"also":[67,157],"converge.":[68],"The":[69],"FV":[70,154],"under":[72],"consideration":[73],"preserves":[74],"key":[75],"physical":[76],"properties":[77],"mixture,":[81],"particular,":[83],"positivity":[84],"partial":[86],"densities,":[87],"pressure,":[88],"temperature.":[90],"Using":[91],"uniform":[92],"stability":[93],"bounds":[94],"consistency":[96],"estimates,":[97],"we":[98,126],"prove":[99],"converge":[104,133],"system.":[115],"Applying":[116],"relative":[118],"entropy":[119],"method":[120],"weak-strong":[123],"uniqueness":[124],"principle,":[125],"further":[127],"show":[128],"approximate":[131],"strongly":[134],"classical":[137],"long":[140],"exists.":[143],"Numerical":[144],"experiments":[145],"confirm":[146],"theoretical":[148],"results,":[149],"not":[150],"only":[151],"low-order":[153],"methods":[155],"but":[156],"through":[158],"extended":[159],"investigations":[161],"higher-order,":[164],"structure-preserving":[165],"discontinuous":[166],"Galerkin":[167],"scheme.":[168]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-27T00:00:00"}