{"id":"https://openalex.org/W2054033856","doi":"https://doi.org/10.1137/s0036141002414470","title":"On the Oort--Hulst--Safronov Coagulation Equation and Its Relation to the Smoluchowski Equation","display_name":"On the Oort--Hulst--Safronov Coagulation Equation and Its Relation to the Smoluchowski Equation","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2054033856","doi":"https://doi.org/10.1137/s0036141002414470","mag":"2054033856"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141002414470","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141002414470","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/A5057809609","display_name":"Miros\u0142aw Lachowicz","orcid":"https://orcid.org/0000-0001-5194-3816"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Miroslaw Lachowicz","raw_affiliation_strings":["Uniwersytet Warszawski, Wydzia\u0142 Matematyki, Informatyki i Mechaniki, Instytut Matematyki Stosowanej i Mechaniki, Zak\u0142ad Biomatematyki i Teorii Gier"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Uniwersytet Warszawski, Wydzia\u0142 Matematyki, Informatyki i Mechaniki, Instytut Matematyki Stosowanej i Mechaniki, Zak\u0142ad Biomatematyki i Teorii Gier","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002395669","display_name":"Philippe Lauren\u00e7ot","orcid":"https://orcid.org/0000-0003-3091-8085"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Philippe Lauren\u00e7ot","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079491722","display_name":"Dariusz Wrzosek","orcid":"https://orcid.org/0000-0003-2774-124X"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Dariusz Wrzosek","raw_affiliation_strings":["Uniwersytet Warszawski - Wydzia\u0142 Matematyki, Informatyki i Mechaniki - Instytut Matematyki Stosowanej i Mechaniki - Zak\u0142ad R\u00f3wna\u0144 Fizyki Matematycznej"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Uniwersytet Warszawski - Wydzia\u0142 Matematyki, Informatyki i Mechaniki - Instytut Matematyki Stosowanej i Mechaniki - Zak\u0142ad R\u00f3wna\u0144 Fizyki Matematycznej","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057809609"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":6.3955,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.95594765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"34","issue":"6","first_page":"1399","last_page":"1421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9383999705314636,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.9301999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/smoluchowski-coagulation-equation","display_name":"Smoluchowski coagulation equation","score":0.8754909038543701},{"id":"https://openalex.org/keywords/coagulation","display_name":"Coagulation","score":0.6736662983894348},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5366418361663818},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4338221848011017},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3679065704345703},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13183435797691345}],"concepts":[{"id":"https://openalex.org/C143002175","wikidata":"https://www.wikidata.org/wiki/Q971184","display_name":"Smoluchowski coagulation equation","level":2,"score":0.8754909038543701},{"id":"https://openalex.org/C2778382381","wikidata":"https://www.wikidata.org/wiki/Q179217","display_name":"Coagulation","level":2,"score":0.6736662983894348},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5366418361663818},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4338221848011017},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3679065704345703},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13183435797691345},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036141002414470","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141002414470","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W9067005","https://openalex.org/W51082833","https://openalex.org/W1552064164","https://openalex.org/W1592396539","https://openalex.org/W1667069063","https://openalex.org/W1980953211","https://openalex.org/W1981944662","https://openalex.org/W1983693921","https://openalex.org/W1984378318","https://openalex.org/W2025326085","https://openalex.org/W2025442921","https://openalex.org/W2080454431","https://openalex.org/W2142853811","https://openalex.org/W2162488624","https://openalex.org/W2170544234","https://openalex.org/W2610323627"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W200309006","https://openalex.org/W1994092628","https://openalex.org/W2054347038","https://openalex.org/W2024651974","https://openalex.org/W2114743412"],"abstract_inverted_index":{"A":[0],"connection":[1],"is":[2,28,45],"established":[3],"between":[4],"the":[5,12,24,31,36],"classical":[6],"Smoluchowski":[7],"continuous":[8],"coagulation":[9,14,18,26],"equation":[10,15,27],"and":[11,30,35],"Oort--Hulst--Safronov":[13,25],"via":[16],"generalized":[17],"equations.":[19],"Existence":[20],"of":[21,38],"solutions":[22],"to":[23],"shown,":[29],"large":[32],"time":[33],"behavior":[34],"occurrence":[37],"gelation":[39],"are":[40],"studied":[41],"as":[42],"well.":[43],"It":[44],"also":[46],"shown":[47],"that":[48],"a":[49],"compactly":[50],"supported":[51],"initial":[52],"distribution":[53],"propagates":[54],"with":[55],"finite":[56],"speed.":[57]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2025-10-10T00:00:00"}
