{"id":"https://openalex.org/W4405008287","doi":"https://doi.org/10.1137/24m1630529","title":"Kinetic Derivation of an Inviscid Compressible Leslie\u2013Ericksen Equation for Rarified Calamitic Gases","display_name":"Kinetic Derivation of an Inviscid Compressible Leslie\u2013Ericksen Equation for Rarified Calamitic Gases","publication_year":2024,"publication_date":"2024-12-04","ids":{"openalex":"https://openalex.org/W4405008287","doi":"https://doi.org/10.1137/24m1630529"},"language":"en","primary_location":{"id":"doi:10.1137/24m1630529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1630529","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","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/A5102855060","display_name":"Patrick E. Farrell","orcid":"https://orcid.org/0000-0002-1241-7060"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Patrick E. Farrell","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK"],"raw_orcid":"https://orcid.org/0000-0002-1241-7060","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037976295","display_name":"Giovanni Russo","orcid":"https://orcid.org/0000-0003-4215-1926"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Russo","raw_affiliation_strings":["Department of Mathematics, University of Catania, I-95125, Catania, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4215-1926","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Catania, I-95125, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016062816","display_name":"Umberto Zerbinati","orcid":"https://orcid.org/0000-0002-2577-1106"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Umberto Zerbinati","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK"],"raw_orcid":"https://orcid.org/0000-0002-2577-1106","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6201,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.90503428,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"22","issue":"4","first_page":"1585","last_page":"1607"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998000264167786,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998000264167786,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9990000128746033,"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":0.996999979019165,"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/inviscid-flow","display_name":"Inviscid flow","score":0.9629853963851929},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5626451969146729},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.42379218339920044},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4058389365673065},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39552217721939087},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.36909231543540955},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3511654734611511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32905054092407227},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2850894629955292}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.9629853963851929},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5626451969146729},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.42379218339920044},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4058389365673065},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39552217721939087},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36909231543540955},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3511654734611511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32905054092407227},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2850894629955292}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1630529","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1630529","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:35f5856b-d8e1-4027-bbed-5337417b5c7e","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:35f5856b-d8e1-4027-bbed-5337417b5c7e","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2582585287","display_name":null,"funder_award_id":"2022KA3JBA","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G3957501995","display_name":null,"funder_award_id":"EP/R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5826576174","display_name":"SysGenX: Composable software generation for system-level simulation at Exascale","funder_award_id":"EP/W026163/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7295259756","display_name":"PRISM: Platform for Research In Simulation Methods","funder_award_id":"EP/R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W197897290","https://openalex.org/W1517823887","https://openalex.org/W1589757706","https://openalex.org/W1600845614","https://openalex.org/W1615577543","https://openalex.org/W1989418154","https://openalex.org/W2000140416","https://openalex.org/W2000177043","https://openalex.org/W2014419321","https://openalex.org/W2018269053","https://openalex.org/W2027364354","https://openalex.org/W2027880021","https://openalex.org/W2046867719","https://openalex.org/W2056290404","https://openalex.org/W2057088016","https://openalex.org/W2059730617","https://openalex.org/W2078696505","https://openalex.org/W2083015003","https://openalex.org/W2163659052","https://openalex.org/W2169704717","https://openalex.org/W2286445365","https://openalex.org/W2566344954","https://openalex.org/W2619829111","https://openalex.org/W4211144636","https://openalex.org/W4232283338","https://openalex.org/W4237250219","https://openalex.org/W4251356811","https://openalex.org/W4253538687","https://openalex.org/W4388257246","https://openalex.org/W4388395150"],"related_works":["https://openalex.org/W1486213812","https://openalex.org/W2963995572","https://openalex.org/W2804509140","https://openalex.org/W1644877668","https://openalex.org/W1602020813","https://openalex.org/W3186153824","https://openalex.org/W4324319056","https://openalex.org/W2415733166","https://openalex.org/W274815926","https://openalex.org/W2908375145"],"abstract_inverted_index":{"Nematic":[0],"ordering":[1,18,40],"describes":[2],"the":[3,34,48,54,69,82,90,106,113,123,137,140,162,171,183,190,194,207,223,232],"phenomenon":[4],"where":[5,170],"anisotropic":[6,186],"molecules":[7,59],"tend":[8],"to":[9,68,130,161,177,197,217],"locally":[10],"align,":[11],"like":[12],"matches":[13],"in":[14,21,31,43,89,159,231],"a":[15,78,132,153,203,212],"matchbox.":[16],"This":[17,180],"can":[19,41],"arise":[20,42],"solids":[22],"(as":[23,27],"nematic":[24,39,72,93,127,191,235],"elastomers),":[25],"liquids":[26],"liquid":[28,128],"crystals),":[29],"and":[30,144,216],"gases.":[32],"In":[33],"1940s,":[35],"Onsager":[36],"described":[37],"how":[38],"dilute":[44],"colloidal":[45],"suspensions":[46],"from":[47,103,122,189],"molecular":[49],"point":[50,115],"of":[51,57,71,84,92,108,126,142,156,185,206,222,228,240],"view.":[52],"However,":[53],"kinetic":[55,79,104,163],"theory":[56,80,105,125,164,195,233],"nonspherical":[58],"has":[60],"not,":[61],"thus":[62],"far,":[63],"accounted":[64],"for":[65,81,116,234],"phenomena":[66,187],"relating":[67],"presence":[70,91],"ordering.</p>\\n<br>\\n<p>In":[73],"this":[74],"work":[75,98,109],"we":[76,101],"develop":[77],"behavior":[83],"rarified":[85],"calamitic":[86],"(rodlike)":[87],"gases":[88],"ordering.":[94,192],"Building":[95],"on":[96],"previous":[97],"by":[99,166],"Curtiss,":[100],"derive":[102],"rate":[107],"hypothesis":[110],"that":[111,135,201],"forms":[112],"starting":[114],"Leslie\u2013Ericksen":[117,224],"theory.":[118],"We":[119],"incorporate":[120],"ideas":[121],"variational":[124],"crystals":[129],"create":[131],"moment":[133],"closure":[134],"preserves":[136],"coupling":[138,148,181],"between":[139,149],"laws":[141,151],"linear":[143],"angular":[145],"momentum.":[146],"The":[147,226],"these":[150,241],"is":[152,175,202],"key":[154],"feature":[155],"our":[157,238],"theory,":[158],"contrast":[160],"proposed":[165],"Curtiss":[167],"&":[168],"Dahler,":[169],"couple":[172],"stress":[173],"tensor":[174],"assumed":[176],"be":[178],"zero.":[179],"allows":[182],"characterization":[184],"arising":[188],"Furthermore,":[193],"leads":[196],"an":[198,218],"energy":[199,210],"functional":[200],"compressible":[204,220,229],"variant":[205],"classical":[208],"Oseen\u2013Frank":[209],"(with":[211],"pressure-dependent":[213],"Frank":[214],"constant)":[215],"inviscid":[219],"analogue":[221],"equations.":[225],"emergence":[227],"aspects":[230],"fluids":[236],"enhances":[237],"understanding":[239],"complex":[242],"systems.</p>":[243]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}