{"id":"https://openalex.org/W1482765265","doi":"https://doi.org/10.3233/asy-141269","title":"Homogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients: The two scale convergence method","display_name":"Homogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients: The two scale convergence method","publication_year":2015,"publication_date":"2015-03-01","ids":{"openalex":"https://openalex.org/W1482765265","doi":"https://doi.org/10.3233/asy-141269","mag":"1482765265"},"language":"en","primary_location":{"id":"doi:10.3233/asy-141269","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141269","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic 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/A5071773084","display_name":"Mogtaba Mohammed","orcid":"https://orcid.org/0000-0003-4575-997X"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Mogtaba Mohammed","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mails: mogtaba@aims.ac.za, sango7777@yahoo.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mails: mogtaba@aims.ac.za, sango7777@yahoo.com","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020028468","display_name":"Mamadou Sango","orcid":null},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Mamadou Sango","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mails: mogtaba@aims.ac.za, sango7777@yahoo.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. E-mails: mogtaba@aims.ac.za, sango7777@yahoo.com","institution_ids":["https://openalex.org/I69552723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071773084"],"corresponding_institution_ids":["https://openalex.org/I69552723"],"apc_list":null,"apc_paid":null,"fwci":1.8169,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.85049782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"91","issue":"3-4","first_page":"341","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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":1.0,"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":0.9958999752998352,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/homogenization","display_name":"Homogenization (climate)","score":0.8693932294845581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6316925883293152},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6007983088493347},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.5927936434745789},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.533513069152832},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.4927370846271515},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3586381673812866}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8693932294845581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6316925883293152},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6007983088493347},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5927936434745789},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.533513069152832},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.4927370846271515},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3586381673812866},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-141269","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-141269","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:repository.up.ac.za:2263/52908","is_oa":false,"landing_page_url":"http://hdl.handle.net/2263/52908","pdf_url":null,"source":{"id":"https://openalex.org/S4306401870","display_name":"UpSpace Institutional Repository (University of Pretoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I69552723","host_organization_name":"University of Pretoria","host_organization_lineage":["https://openalex.org/I69552723"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Postprint Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W39412911","https://openalex.org/W46998085","https://openalex.org/W49783997","https://openalex.org/W168515221","https://openalex.org/W309412643","https://openalex.org/W650857255","https://openalex.org/W1258171083","https://openalex.org/W1517403807","https://openalex.org/W1539820933","https://openalex.org/W1547249381","https://openalex.org/W1553150814","https://openalex.org/W1662674546","https://openalex.org/W1676467742","https://openalex.org/W1811855875","https://openalex.org/W1967203031","https://openalex.org/W1968339027","https://openalex.org/W1970645310","https://openalex.org/W1972729310","https://openalex.org/W1978631586","https://openalex.org/W1983515720","https://openalex.org/W1998347932","https://openalex.org/W1999447349","https://openalex.org/W2004370919","https://openalex.org/W2016150461","https://openalex.org/W2023324267","https://openalex.org/W2027239222","https://openalex.org/W2027748639","https://openalex.org/W2032492422","https://openalex.org/W2034293349","https://openalex.org/W2037707132","https://openalex.org/W2048494582","https://openalex.org/W2058801555","https://openalex.org/W2071390712","https://openalex.org/W2073078790","https://openalex.org/W2074184061","https://openalex.org/W2081429041","https://openalex.org/W2087225592","https://openalex.org/W2116801612","https://openalex.org/W2123036031","https://openalex.org/W2124135786","https://openalex.org/W2324235717","https://openalex.org/W2327290270","https://openalex.org/W2463678314","https://openalex.org/W2511321375","https://openalex.org/W2572220618","https://openalex.org/W2802739963","https://openalex.org/W2897725581","https://openalex.org/W3100015839","https://openalex.org/W4256087260","https://openalex.org/W4285719527","https://openalex.org/W4299533062"],"related_works":["https://openalex.org/W2373567731","https://openalex.org/W2066764747","https://openalex.org/W2359206539","https://openalex.org/W2388355944","https://openalex.org/W2479314534","https://openalex.org/W2563073486","https://openalex.org/W2021862882","https://openalex.org/W3118471514","https://openalex.org/W144405564","https://openalex.org/W2010817582"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,30],"establish":[4],"new":[5],"homogenization":[6],"results":[7],"for":[8],"stochastic":[9,65],"linear":[10],"hyperbolic":[11,66],"equations":[12],"with":[13,68],"periodically":[14],"oscillating":[15],"coefficients.":[16,70],"We":[17,44,71],"first":[18],"use":[19,31],"the":[20,26,32,47,52,60],"multiple":[21],"expansion":[22],"method":[23,36],"to":[24,59],"drive":[25],"homogenized":[27,64],"problem.":[28],"Next":[29],"two":[33],"scale":[34],"convergence":[35],"and":[37,39],"Prokhorov's":[38],"Skorokhod's":[40],"probabilistic":[41],"compactness":[42],"results.":[43],"prove":[45,73],"that":[46],"sequence":[48],"of":[49,51,62],"solutions":[50],"original":[53],"problem":[54,67],"converges":[55],"in":[56],"suitable":[57],"topologies":[58],"solution":[61],"a":[63,74],"constant":[69],"also":[72],"corrector":[75],"result.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}