A finite-dimensional dynamical model for gelation in coagulation process

Detalhes bibliográficos
Autor(a) principal: Costa, Fernando Pestana da
Data de Publicação: 1998
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1480
Resumo: We study a finite-dimensional system of ordinary differential equations derived from Smoluchowski’s coagulation equations and whose solutions mimic the behaviour of the nondensity-conserving (geling) solutions in those equations. The analytic and numerical studies of the finite-dimensional system reveals an interesting dynamic behaviour in several respects: Firstly, it suggests that some special geling solutions to Smoluchowski’s equations discovered by Leyvraz can have an important dynamic role in gelation studies, and, secondly, the dynamics is interesting in its own right with an attractor possessing an unexpected structure of equilibria and connecting orbits.
id RCAP_b9dd12bb81fe6fb8d907920541886a9c
oai_identifier_str oai:repositorioaberto.uab.pt:10400.2/1480
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str
spelling A finite-dimensional dynamical model for gelation in coagulation processSmoluchowski coagulation equationsWe study a finite-dimensional system of ordinary differential equations derived from Smoluchowski’s coagulation equations and whose solutions mimic the behaviour of the nondensity-conserving (geling) solutions in those equations. The analytic and numerical studies of the finite-dimensional system reveals an interesting dynamic behaviour in several respects: Firstly, it suggests that some special geling solutions to Smoluchowski’s equations discovered by Leyvraz can have an important dynamic role in gelation studies, and, secondly, the dynamics is interesting in its own right with an attractor possessing an unexpected structure of equilibria and connecting orbits.SpringerRepositório AbertoCosta, Fernando Pestana da2010-05-20T11:08:57Z1998-081998-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1480engCosta, Fernando Pestana da - A finite-dimensional dynamical model for gelation in coagulation process. " Journal of Nonlinear Science" [Em linha]. ISSN 0938-8974 (Print) 1432-1467 (Online). Vol. 8, nº 6 (Aug. 1998), p. 619-6530938-8974 (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:RCAAP2023-07-07T15:59:11ZPortal AgregadorONG
dc.title.none.fl_str_mv A finite-dimensional dynamical model for gelation in coagulation process
title A finite-dimensional dynamical model for gelation in coagulation process
spellingShingle A finite-dimensional dynamical model for gelation in coagulation process
Costa, Fernando Pestana da
Smoluchowski coagulation equations
title_short A finite-dimensional dynamical model for gelation in coagulation process
title_full A finite-dimensional dynamical model for gelation in coagulation process
title_fullStr A finite-dimensional dynamical model for gelation in coagulation process
title_full_unstemmed A finite-dimensional dynamical model for gelation in coagulation process
title_sort A finite-dimensional dynamical model for gelation in coagulation process
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
topic Smoluchowski coagulation equations
description We study a finite-dimensional system of ordinary differential equations derived from Smoluchowski’s coagulation equations and whose solutions mimic the behaviour of the nondensity-conserving (geling) solutions in those equations. The analytic and numerical studies of the finite-dimensional system reveals an interesting dynamic behaviour in several respects: Firstly, it suggests that some special geling solutions to Smoluchowski’s equations discovered by Leyvraz can have an important dynamic role in gelation studies, and, secondly, the dynamics is interesting in its own right with an attractor possessing an unexpected structure of equilibria and connecting orbits.
publishDate 1998
dc.date.none.fl_str_mv 1998-08
1998-08-01T00:00:00Z
2010-05-20T11:08:57Z
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/10400.2/1480
url http://hdl.handle.net/10400.2/1480
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Costa, Fernando Pestana da - A finite-dimensional dynamical model for gelation in coagulation process. " Journal of Nonlinear Science" [Em linha]. ISSN 0938-8974 (Print) 1432-1467 (Online). Vol. 8, nº 6 (Aug. 1998), p. 619-653
0938-8974 (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 Springer
publisher.none.fl_str_mv Springer
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str 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
repository.mail.fl_str_mv
_version_ 1777302836836564992

Registros relacionados