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Point island dynamics under fixed rate deposition

dc.contributor.authorAllen, Damien
dc.contributor.authorGrinfeld, Michael
dc.contributor.authorSasportes, Rafael
dc.date.accessioned2019-06-07T10:10:21Z
dc.date.available2019-12-12T01:30:27Z
dc.date.issued2018-12-11
dc.description.abstractIn 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.pt_PT
dc.description.sponsorshipRD0447/CAMGSD/2015
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationDamien; 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. 1716-1728pt_PT
dc.identifier.doi10.1016/j.jmaa.2018.12.018pt_PT
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10400.2/8280
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0022247X18310485pt_PT
dc.subjectSubmonolayer depositionpt_PT
dc.subjectCentre manifold theorypt_PT
dc.subjectCompartmental systemspt_PT
dc.subjectAsymptotically autonomous dynamical systemspt_PT
dc.titlePoint island dynamics under fixed rate depositionpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceSan Diego, Califórnia, USApt_PT
oaire.citation.endPage1728pt_PT
oaire.citation.startPage1716pt_PT
oaire.citation.titleJournal of Mathematical Analysis and Applicationspt_PT
person.familyNameGrinfeld
person.familyNameSasportes
person.givenNameMichael
person.givenNameRafael
person.identifier.ciencia-idDC16-AE64-30AE
person.identifier.orcid0000-0002-3897-8819
person.identifier.orcid0000-0003-2855-9490
person.identifier.scopus-author-id24176381600
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication6057da1f-64bf-439d-8b2c-0f2282e1ef91
relation.isAuthorOfPublication51b5ae32-4da8-4e15-bdb6-f59ec776d293
relation.isAuthorOfPublication.latestForDiscovery6057da1f-64bf-439d-8b2c-0f2282e1ef91

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