{"id":"https://openalex.org/W2140311652","doi":"https://doi.org/10.1137/050629458","title":"Homogenization of a Porous Medium with Randomly Pulsating Microstructure","display_name":"Homogenization of a Porous Medium with Randomly Pulsating Microstructure","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2140311652","doi":"https://doi.org/10.1137/050629458","mag":"2140311652"},"language":"en","primary_location":{"id":"doi:10.1137/050629458","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050629458","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/A5014240829","display_name":"Doina Cioranescu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Doina Cioranescu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054322468","display_name":"Andrey Piatnitski","orcid":"https://orcid.org/0000-0002-9874-6227"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrey Piatnitski","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014240829"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.337,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64085784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":"1","first_page":"170","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9977999925613403,"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":0.9977999925613403,"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/T11558","display_name":"Composite Material Mechanics","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0003000000142492354,"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":0.9657641649246216},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.7119038701057434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5230163931846619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49993896484375},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4721890687942505},{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.44814205169677734},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.33130037784576416},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3228027820587158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24728012084960938},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.24133378267288208},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09002459049224854}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9657641649246216},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7119038701057434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5230163931846619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49993896484375},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4721890687942505},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.44814205169677734},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.33130037784576416},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3228027820587158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24728012084960938},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.24133378267288208},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09002459049224854},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/050629458","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050629458","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:CiteSeerX.psu:10.1.1.493.1537","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.493.1537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ansatte.hin.no/alp/mms06.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00112093v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00112093","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":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2006, 5, pp.170-183","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":6,"referenced_works":["https://openalex.org/W1601374005","https://openalex.org/W2034293349","https://openalex.org/W2041620563","https://openalex.org/W2049140206","https://openalex.org/W2098262645","https://openalex.org/W4297922768"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W2058940780","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W2090404944","https://openalex.org/W2025913943","https://openalex.org/W166351930","https://openalex.org/W3101493394"],"abstract_inverted_index":{"We":[0],"study":[1],"a":[2,6],"parabolic":[3],"operator":[4],"in":[5,27,40],"perforated":[7],"medium":[8],"with":[9,29],"random":[10,26],"rapidly":[11],"pulsating":[12],"perforation.":[13],"Assuming":[14],"that":[15,35],"the":[16,19,45],"geometry":[17],"of":[18],"perforations":[20],"is":[21],"spatially":[22],"periodic":[23],"and":[24,43],"stationary":[25],"time":[28],"good":[30],"mixing":[31],"properties,":[32],"we":[33],"show":[34],"this":[36],"problem":[37],"admits":[38],"homogenization":[39],"moving":[41],"coordinates,":[42],"derive":[44],"homogenized":[46],"problem.":[47]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}