On the positivity of solutions to the Smoluchowski equations

Detalhes bibliográficos
Autor(a) principal: Costa, Fernando Pestana da
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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spelling 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:RCAAP2023-07-07T15:59:12ZPortal AgregadorONG
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
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