{"id":"https://openalex.org/W3108399206","doi":"https://doi.org/10.1137/19m1242434","title":"Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media","display_name":"Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3108399206","doi":"https://doi.org/10.1137/19m1242434","mag":"3108399206"},"language":"en","primary_location":{"id":"doi:10.1137/19m1242434","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1242434","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":"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/A5101833555","display_name":"Christian Rohde","orcid":"https://orcid.org/0000-0001-9183-5094"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christian Rohde","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5084921930","display_name":"Lars von Wolff","orcid":"https://orcid.org/0000-0003-1814-9324"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lars von Wolff","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101833555"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7035,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77051886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"52","issue":"6","first_page":"6155","last_page":"6179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9965000152587891,"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":0.9965000152587891,"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/homogenization","display_name":"Homogenization (climate)","score":0.7462027668952942},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.61714768409729},{"id":"https://openalex.org/keywords/polytropic-process","display_name":"Polytropic process","score":0.6044698357582092},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6011779308319092},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5086058378219604},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.46477511525154114},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.44179484248161316},{"id":"https://openalex.org/keywords/non-dimensionalization-and-scaling-of-the-navier\u2013stokes-equations","display_name":"Non-dimensionalization and scaling of the Navier\u2013Stokes equations","score":0.42714279890060425},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.42639389634132385},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4214339256286621},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.366842657327652},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.33687281608581543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28207409381866455},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.15535283088684082},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1224549412727356}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7462027668952942},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.61714768409729},{"id":"https://openalex.org/C142475440","wikidata":"https://www.wikidata.org/wiki/Q831024","display_name":"Polytropic process","level":2,"score":0.6044698357582092},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6011779308319092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5086058378219604},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.46477511525154114},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.44179484248161316},{"id":"https://openalex.org/C88768529","wikidata":"https://www.wikidata.org/wiki/Q17104757","display_name":"Non-dimensionalization and scaling of the Navier\u2013Stokes equations","level":4,"score":0.42714279890060425},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42639389634132385},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4214339256286621},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.366842657327652},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.33687281608581543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28207409381866455},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.15535283088684082},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1224549412727356},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1242434","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1242434","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1334133226","display_name":null,"funder_award_id":"SFB 1313","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W112503862","https://openalex.org/W1969543804","https://openalex.org/W1994547180","https://openalex.org/W2030735999","https://openalex.org/W2043464243","https://openalex.org/W2072434763","https://openalex.org/W2075050488","https://openalex.org/W2082968474","https://openalex.org/W2098947741","https://openalex.org/W2110096798","https://openalex.org/W2120554329","https://openalex.org/W2146113585","https://openalex.org/W2168524315","https://openalex.org/W2329574346","https://openalex.org/W2554802565","https://openalex.org/W2598840187","https://openalex.org/W4213306718","https://openalex.org/W4297198613"],"related_works":["https://openalex.org/W3102294363","https://openalex.org/W2184035416","https://openalex.org/W2495154157","https://openalex.org/W590748483","https://openalex.org/W146904120","https://openalex.org/W1632850910","https://openalex.org/W4297736747","https://openalex.org/W1564165438","https://openalex.org/W2544500605","https://openalex.org/W620462396"],"abstract_inverted_index":{"We":[0,58],"consider":[1],"a":[2,11,23,31,34,38,79,107,132],"nonlocal":[3,80,96],"version":[4,81],"of":[5,22,82,94],"the":[6,18,53,60,73,83,88,91,95,104,113,120,124,129],"quasi-static":[7],"Navier--Stokes--Korteweg":[8],"equations":[9],"with":[10,46,66,106,131],"nonmonotone":[12],"pressure":[13,68],"law.":[14],"This":[15],"system":[16,105],"governs":[17],"low-Reynolds":[19],"number":[20],"dynamics":[21],"compressible":[24,63],"viscous":[25],"fluid":[26,125],"that":[27,41,72,99],"may":[28],"take":[29],"either":[30],"liquid":[32],"or":[33],"vapor":[35],"state.":[36],"For":[37],"porous":[39],"domain":[40],"is":[42,56,76,90],"perforated":[43],"by":[44,78],"cavities":[45],"diameter":[47],"proportional":[48],"to":[49,102],"their":[50],"mutual":[51],"distance":[52],"homogenization":[54],"limit":[55],"analyzed.":[57],"extend":[59],"results":[61],"for":[62,87,119,128],"one-phase":[64],"flow":[65],"polytropic":[67],"laws":[69],"and":[70],"prove":[71],"effective":[74],"motion":[75],"governed":[77],"Cahn--Hilliard":[84],"equation.":[85],"Crucial":[86],"analysis":[89],"convolution-like":[92],"structure":[93],"capillarity":[97,114],"term":[98,115],"allows":[100],"us":[101],"equip":[103],"generalized":[108],"convex":[109],"free":[110],"energy.":[111],"Moreover,":[112],"accounts":[116],"not":[117],"only":[118],"energetic":[121],"interaction":[122,130],"within":[123],"but":[126],"also":[127],"solid":[133],"wall":[134],"boundary.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
