{"id":"https://openalex.org/W3007423459","doi":"https://doi.org/10.1007/s42985-021-00101-y","title":"Transport and continuity equations with (very) rough noise","display_name":"Transport and continuity equations with (very) rough noise","publication_year":2021,"publication_date":"2021-06-21","ids":{"openalex":"https://openalex.org/W3007423459","doi":"https://doi.org/10.1007/s42985-021-00101-y","mag":"3007423459"},"language":"en","primary_location":{"id":"doi:10.1007/s42985-021-00101-y","doi":"https://doi.org/10.1007/s42985-021-00101-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42985-021-00101-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42985-021-00101-y.pdf","source":{"id":"https://openalex.org/S4210233539","display_name":"Partial Differential Equations and Applications","issn_l":"2662-2963","issn":["2662-2963","2662-2971"],"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-4"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations and Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s42985-021-00101-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074874965","display_name":"Carlo Bellingeri","orcid":"https://orcid.org/0000-0002-5935-7894","observed_orcids":["https://orcid.org/0000-0002-5935-7894"]},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"C. Bellingeri","raw_affiliation_strings":["TU Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043592249","display_name":"Ana Djurdjevac","orcid":"https://orcid.org/0000-0002-8122-7164","observed_orcids":["https://orcid.org/0000-0002-8122-7164"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Djurdjevac","raw_affiliation_strings":["FU Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085656370","display_name":"Peter K. Friz","orcid":"https://orcid.org/0000-0003-2571-8388","observed_orcids":["https://orcid.org/0000-0003-2571-8388"]},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"P. K. Friz","raw_affiliation_strings":["TU Berlin, Berlin, Germany","WIAS, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2571-8388","affiliations":[{"raw_affiliation_string":"TU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"WIAS, Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015487271","display_name":"Nikolas Tapia","orcid":"https://orcid.org/0000-0003-0018-2492","observed_orcids":["https://orcid.org/0000-0003-0018-2492"]},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"N. Tapia","raw_affiliation_strings":["TU Berlin, Berlin, Germany","WIAS, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"WIAS, Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015487271","https://openalex.org/A5043592249","https://openalex.org/A5074874965","https://openalex.org/A5085656370"],"corresponding_institution_ids":["https://openalex.org/I4210092021","https://openalex.org/I4577782","https://openalex.org/I75951250"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":{"value":2780,"currency":"USD","value_usd":2780},"fwci":2.2053,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86302745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"2","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7231000065803528,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7231000065803528,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.07159999758005142,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.020899999886751175,"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/rough-paths","display_name":"rough paths","score":0.7960000038146973},{"id":"https://openalex.org/keywords/geometric-rough-paths","display_name":"geometric rough paths","score":0.8700000047683716},{"id":"https://openalex.org/keywords/transport-equation","display_name":"transport equation","score":0.7039999961853027},{"id":"https://openalex.org/keywords/continuity-equation","display_name":"continuity equation","score":0.9869999885559082},{"id":"https://openalex.org/keywords/existence-and-uniqueness-of-solutions","display_name":"existence and uniqueness of solutions","score":0.8519999980926514},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equations","display_name":"stochastic partial differential equations","score":0.722000002861023}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8096438646316528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5691401958465576},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.47844198346138},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4574403762817383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4144507050514221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2502084970474243},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06666848063468933},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s42985-021-00101-y","doi":"https://doi.org/10.1007/s42985-021-00101-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42985-021-00101-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42985-021-00101-y.pdf","source":{"id":"https://openalex.org/S4210233539","display_name":"Partial Differential Equations and Applications","issn_l":"2662-2963","issn":["2662-2963","2662-2971"],"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-4"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.10432","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.10432","pdf_url":"https://arxiv.org/pdf/2002.10432","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":"pmh:oai:HAL:hal-02490638v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-02490638","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,"listed_in":[],"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":"2020","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00101-y","doi":null,"is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s42985-021-00101-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:refubium.fu-berlin.de:fub188/38658","doi":null,"is_oa":true,"landing_page_url":"https://refubium.fu-berlin.de/handle/fub188/38658","pdf_url":null,"source":{"id":"https://openalex.org/S4306402444","display_name":"Refubium (Universit\u00e4tsbibliothek der Freien Universit\u00e4t Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I75951250","host_organization_name":"Freie Universit\u00e4t Berlin","host_organization_lineage":["https://openalex.org/I75951250"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"doi:10.48550/arxiv.2002.10432","doi":"https://doi.org/10.48550/arxiv.2002.10432","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.10432","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":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.17169/refubium-38374","doi":"https://doi.org/10.17169/refubium-38374","is_oa":true,"landing_page_url":"https://doi.org/10.17169/refubium-38374","pdf_url":null,"source":{"id":"https://openalex.org/S7407052913","display_name":"Universit\u00e4tsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/s42985-021-00101-y","doi":"https://doi.org/10.1007/s42985-021-00101-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42985-021-00101-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42985-021-00101-y.pdf","source":{"id":"https://openalex.org/S4210233539","display_name":"Partial Differential Equations and Applications","issn_l":"2662-2963","issn":["2662-2963","2662-2971"],"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-4"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4699999988079071}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1713699792","display_name":null,"funder_award_id":"683164","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G2889081793","display_name":null,"funder_award_id":"FOR2402","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G434337789","display_name":null,"funder_award_id":"HORIZON2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3007423459.pdf","grobid_xml":"https://content.openalex.org/works/W3007423459.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W617501864","https://openalex.org/W1681214895","https://openalex.org/W1792567290","https://openalex.org/W1965635180","https://openalex.org/W1975455351","https://openalex.org/W1977726118","https://openalex.org/W2028089000","https://openalex.org/W2037185991","https://openalex.org/W2038273787","https://openalex.org/W2039707083","https://openalex.org/W2052104757","https://openalex.org/W2055459591","https://openalex.org/W2068039185","https://openalex.org/W2068441541","https://openalex.org/W2080353622","https://openalex.org/W2166318576","https://openalex.org/W2255848429","https://openalex.org/W2282582044","https://openalex.org/W2284159715","https://openalex.org/W2321285931","https://openalex.org/W2339115966","https://openalex.org/W2499451752","https://openalex.org/W2522141499","https://openalex.org/W2963213704","https://openalex.org/W2963472460","https://openalex.org/W2963597273","https://openalex.org/W3101003227","https://openalex.org/W3105029829","https://openalex.org/W4300541880","https://openalex.org/W6834474436"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410"],"abstract_inverted_index":{"Abstract":[0],"Existence":[1],"and":[2,8],"uniqueness":[3],"for":[4],"rough":[5,15],"flows,":[6],"transport":[7],"continuity":[9],"equations":[10],"driven":[11],"by":[12],"general":[13],"geometric":[14],"paths":[16],"are":[17],"established.":[18]},"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":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2021-07-19T00:00:00"}
