{"id":"https://openalex.org/W2915465648","doi":"https://doi.org/10.1007/s40072-019-00162-6","title":"On the convergence of stochastic transport equations to a deterministic parabolic one","display_name":"On the convergence of stochastic transport equations to a deterministic parabolic one","publication_year":2020,"publication_date":"2020-01-02","ids":{"openalex":"https://openalex.org/W2915465648","doi":"https://doi.org/10.1007/s40072-019-00162-6","mag":"2915465648"},"language":"en","primary_location":{"id":"doi:10.1007/s40072-019-00162-6","doi":"https://doi.org/10.1007/s40072-019-00162-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40072-019-00162-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210228365","display_name":"Stochastic Partial Differential Equations Analysis and Computations","issn_l":"2194-0401","issn":["2194-0401","2194-041X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastics and Partial Differential Equations: Analysis and Computations","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.06960","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006749463","display_name":"Lucio Galeati","orcid":"https://orcid.org/0000-0001-8187-9245","observed_orcids":["https://orcid.org/0000-0001-8187-9245"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lucio Galeati","raw_affiliation_strings":["Institute of Applied Mathematics, University of Bonn, Bonn, Germany","University of Bonn >  >  >  >"],"raw_orcid":"https://orcid.org/0000-0001-8187-9245","affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"University of Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006749463"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":5.9493,"has_fulltext":true,"cited_by_count":45,"citation_normalized_percentile":{"value":0.96527709,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"8","issue":"4","first_page":"833","last_page":"868"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.28610000014305115,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.28610000014305115,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.15629999339580536,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.14589999616146088,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/stochastic-transport-equation","display_name":"stochastic transport equation","score":0.9100000262260437},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"multiplicative noise","score":0.8510000109672546},{"id":"https://openalex.org/keywords/multiplicative-renormalization","display_name":"multiplicative renormalization","score":0.890999972820282},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equations","display_name":"parabolic equations","score":0.8299999833106995},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.8640000224113464},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equations","display_name":"stochastic partial differential equations","score":0.6480000019073486}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8080083131790161},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.7363865375518799},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.700571596622467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6505004167556763},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6232221126556396},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.583757758140564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49067747592926025},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.48431459069252014},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46549805998802185},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.4549751281738281},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3458143174648285},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1896679401397705},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11015751957893372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08218914270401001},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06444960832595825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s40072-019-00162-6","doi":"https://doi.org/10.1007/s40072-019-00162-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40072-019-00162-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210228365","display_name":"Stochastic Partial Differential Equations Analysis and Computations","issn_l":"2194-0401","issn":["2194-0401","2194-041X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastics and Partial Differential Equations: Analysis and Computations","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.06960","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.06960","pdf_url":"https://arxiv.org/pdf/1902.06960","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2915465648","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1902.06960.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:ricerca.univaq.it:11697/244600","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11697/244600","pdf_url":null,"source":{"id":"https://openalex.org/S7407055225","display_name":"Archivio Istituzionale della Ricerca - Universit\u00e0 degli Studi dell Aquila","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1902.06960","doi":"https://doi.org/10.48550/arxiv.1902.06960","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.06960","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.06960","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.06960","pdf_url":"https://arxiv.org/pdf/1902.06960","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2915465648.pdf","grobid_xml":"https://content.openalex.org/works/W2915465648.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W2825959","https://openalex.org/W1510884297","https://openalex.org/W1542004730","https://openalex.org/W1545370368","https://openalex.org/W1545761024","https://openalex.org/W1570440531","https://openalex.org/W1602686979","https://openalex.org/W1973547983","https://openalex.org/W1998712391","https://openalex.org/W2000675878","https://openalex.org/W2013771267","https://openalex.org/W2026968525","https://openalex.org/W2028089000","https://openalex.org/W2040452482","https://openalex.org/W2045429923","https://openalex.org/W2052104757","https://openalex.org/W2055459591","https://openalex.org/W2067614801","https://openalex.org/W2068039185","https://openalex.org/W2098655122","https://openalex.org/W2268506128","https://openalex.org/W2284692693","https://openalex.org/W2769468411","https://openalex.org/W2810609318","https://openalex.org/W2886304734","https://openalex.org/W2944296117","https://openalex.org/W2962730082","https://openalex.org/W2983141602","https://openalex.org/W3014031886","https://openalex.org/W3105029829","https://openalex.org/W3105425032","https://openalex.org/W3140372194","https://openalex.org/W4229765068","https://openalex.org/W6606293882","https://openalex.org/W6811034012"],"related_works":["https://openalex.org/W2055496175","https://openalex.org/W2028089000","https://openalex.org/W4417123855","https://openalex.org/W3023023447","https://openalex.org/W7115435953","https://openalex.org/W2589697234","https://openalex.org/W3099867950","https://openalex.org/W2770146053","https://openalex.org/W4361224644","https://openalex.org/W7116836103"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-03-02T00:00:00"}