Point island dynamics under fixed rate deposition

Detalhes bibliográficos
Autor(a) principal: Allen, Damien
Data de Publicação: 2018
Outros Autores: Grinfeld, Michael, Sasportes, Rafael
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/8280
Resumo: In this paper we consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption.
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spelling Point island dynamics under fixed rate depositionSubmonolayer depositionCentre manifold theoryCompartmental systemsAsymptotically autonomous dynamical systemsIn this paper we consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption.RD0447/CAMGSD/2015ElsevierRepositório AbertoAllen, DamienGrinfeld, MichaelSasportes, Rafael2019-12-12T01:30:27Z2018-12-112018-12-11T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/8280engDamien; Allen; Grinfeld, Michael; Sasportes, Rafael - Point island dynamics under fixed rate deposition. "Journal of Mathematical Analysis and Applications" [Em linha]. ISSN 0022-247X. Vol. 472, nº 2 (2018), p. 1716-17280022-247X10.1016/j.jmaa.2018.12.018info: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:RCAAP2023-11-16T15:29:37Zoai:repositorioaberto.uab.pt:10400.2/8280Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:48:23.885490Repositório 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 Point island dynamics under fixed rate deposition
title Point island dynamics under fixed rate deposition
spellingShingle Point island dynamics under fixed rate deposition
Allen, Damien
Submonolayer deposition
Centre manifold theory
Compartmental systems
Asymptotically autonomous dynamical systems
title_short Point island dynamics under fixed rate deposition
title_full Point island dynamics under fixed rate deposition
title_fullStr Point island dynamics under fixed rate deposition
title_full_unstemmed Point island dynamics under fixed rate deposition
title_sort Point island dynamics under fixed rate deposition
author Allen, Damien
author_facet Allen, Damien
Grinfeld, Michael
Sasportes, Rafael
author_role author
author2 Grinfeld, Michael
Sasportes, Rafael
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Allen, Damien
Grinfeld, Michael
Sasportes, Rafael
dc.subject.por.fl_str_mv Submonolayer deposition
Centre manifold theory
Compartmental systems
Asymptotically autonomous dynamical systems
topic Submonolayer deposition
Centre manifold theory
Compartmental systems
Asymptotically autonomous dynamical systems
description In this paper we consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11
2018-12-11T00:00:00Z
2019-12-12T01:30:27Z
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/10400.2/8280
url http://hdl.handle.net/10400.2/8280
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Damien; Allen; Grinfeld, Michael; Sasportes, Rafael - Point island dynamics under fixed rate deposition. "Journal of Mathematical Analysis and Applications" [Em linha]. ISSN 0022-247X. Vol. 472, nº 2 (2018), p. 1716-1728
0022-247X
10.1016/j.jmaa.2018.12.018
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 Elsevier
publisher.none.fl_str_mv Elsevier
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 Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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