On the positivity of solutions to the Smoluchowski equations
Autor(a) principal: | |
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Data de Publicação: | 1995 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.2/1490 |
Resumo: | The dynamics of cluster growth can be modelled by the following infinite system of ordinary differential equations, first proposed by Smoluchowski, [8], where cj=cj(t) represents the physical concentration of j-clusters (aggregates of j identical particles), aj,k=aj,k≥0 are the time-independent coagulation coefficients, measuring the effectiveness of the coagulation process between a j-cluster and a k-cluster, and the first sum in the right-hand side of (1) is defined to be zero if j = 1. |
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On the positivity of solutions to the Smoluchowski equationsSmoluchowski coagulation equationsPositivity of solutionsThe dynamics of cluster growth can be modelled by the following infinite system of ordinary differential equations, first proposed by Smoluchowski, [8], where cj=cj(t) represents the physical concentration of j-clusters (aggregates of j identical particles), aj,k=aj,k≥0 are the time-independent coagulation coefficients, measuring the effectiveness of the coagulation process between a j-cluster and a k-cluster, and the first sum in the right-hand side of (1) is defined to be zero if j = 1.University College LondonRepositório AbertoCosta, Fernando Pestana da2010-05-21T13:31:27Z1995-121995-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1490engCosta, Fernando Pestana da - On the positivity of solutions to the Smoluchowski equations. "Mathematika" [Em linha]. ISSN 0025-5793 (Print) 2041-7942 (Online). Vol. 42, nº 2 (Dec 1995), p. 406-4120025-5793 (Print)info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:14:09Zoai:repositorioaberto.uab.pt:10400.2/1490Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:19.156027Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
On the positivity of solutions to the Smoluchowski equations |
title |
On the positivity of solutions to the Smoluchowski equations |
spellingShingle |
On the positivity of solutions to the Smoluchowski equations Costa, Fernando Pestana da Smoluchowski coagulation equations Positivity of solutions |
title_short |
On the positivity of solutions to the Smoluchowski equations |
title_full |
On the positivity of solutions to the Smoluchowski equations |
title_fullStr |
On the positivity of solutions to the Smoluchowski equations |
title_full_unstemmed |
On the positivity of solutions to the Smoluchowski equations |
title_sort |
On the positivity of solutions to the Smoluchowski equations |
author |
Costa, Fernando Pestana da |
author_facet |
Costa, Fernando Pestana da |
author_role |
author |
dc.contributor.none.fl_str_mv |
Repositório Aberto |
dc.contributor.author.fl_str_mv |
Costa, Fernando Pestana da |
dc.subject.por.fl_str_mv |
Smoluchowski coagulation equations Positivity of solutions |
topic |
Smoluchowski coagulation equations Positivity of solutions |
description |
The dynamics of cluster growth can be modelled by the following infinite system of ordinary differential equations, first proposed by Smoluchowski, [8], where cj=cj(t) represents the physical concentration of j-clusters (aggregates of j identical particles), aj,k=aj,k≥0 are the time-independent coagulation coefficients, measuring the effectiveness of the coagulation process between a j-cluster and a k-cluster, and the first sum in the right-hand side of (1) is defined to be zero if j = 1. |
publishDate |
1995 |
dc.date.none.fl_str_mv |
1995-12 1995-12-01T00:00:00Z 2010-05-21T13:31:27Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.2/1490 |
url |
http://hdl.handle.net/10400.2/1490 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Costa, Fernando Pestana da - On the positivity of solutions to the Smoluchowski equations. "Mathematika" [Em linha]. ISSN 0025-5793 (Print) 2041-7942 (Online). Vol. 42, nº 2 (Dec 1995), p. 406-412 0025-5793 (Print) |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
University College London |
publisher.none.fl_str_mv |
University College London |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799134999822204928 |