Publication
On the convergence to critical scaling profiles in submonolayer deposition models
| dc.contributor.author | Costa, Fernando Pestana da | |
| dc.contributor.author | Pinto, João Teixeira | |
| dc.contributor.author | Sasportes, Rafael | |
| dc.date.accessioned | 2018-12-21T15:54:16Z | |
| dc.date.available | 2019-07-21T00:31:23Z | |
| dc.date.issued | 2018-12 | |
| dc.description.abstract | In this work we study the rate of convergence to similarity profiles in a mean field model for the deposition of a submonolayer of atoms in a crystal facet, when there is a critical minimal size $n\geq 2$ for the stability of the formed clusters. The work complements recently published related results by the same authors in which the rate of convergence was studied outside of a critical direction $x=\tau$ in the cluster size $x$ vs. time $\tau$ plane. In this paper we consider a different similarity variable, $\xi:= (x − \tau )/ \tau$ , corresponding to an inner expansion of that critical direction, and prove the convergence of solutions to a similarity profile $\Phi_{2,n}(\xi)$ when $x, \tau \to +\infty$ with $\xi$ fixed, as well as the rate at which the limit is approached. | pt_PT |
| dc.description.sponsorship | RD0447/CAMGSD/2015 | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Costa, Fernando Pestana da; Pinto, João Teixeira; Sasportes, Rafael - On the convergence to critical scaling profiles in submonolayer deposition models. "Kinetic and Related Models" [Em linha]. ISSN 1937-5093 (Print) 1937-5077 (Online). Vol. 11, nº 6 (2018), p. 1359–1376 | pt_PT |
| dc.identifier.doi | 10.3934/krm.2018053 | pt_PT |
| dc.identifier.issn | 1937-5093 | |
| dc.identifier.issn | 1937-5077 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/7805 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | American Institute of Mathematical Sciences | pt_PT |
| dc.relation.publisherversion | http://aimsciences.org/article/doi/10.3934/krm.2018053 | pt_PT |
| dc.subject | Dynamics of ODEs | pt_PT |
| dc.subject | Submonolayer deposition models | pt_PT |
| dc.subject | Asymptotic evaluation of integrals | pt_PT |
| dc.subject | Convergence to scaling behavior | pt_PT |
| dc.subject | Coagulation processes | pt_PT |
| dc.title | On the convergence to critical scaling profiles in submonolayer deposition models | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Springfield, MO, USA | pt_PT |
| oaire.citation.endPage | 1376 | pt_PT |
| oaire.citation.startPage | 1359 | pt_PT |
| oaire.citation.title | Kinetic and Related Models | pt_PT |
| oaire.citation.volume | 11 | pt_PT |
| person.familyName | Costa | |
| person.familyName | Teixeira Pinto | |
| person.familyName | Sasportes | |
| person.givenName | Fernando Pestana da | |
| person.givenName | João | |
| person.givenName | Rafael | |
| person.identifier.ciencia-id | 1610-6502-E6C5 | |
| person.identifier.ciencia-id | DC16-AE64-30AE | |
| person.identifier.orcid | 0000-0002-9072-797X | |
| person.identifier.orcid | 0000-0003-0190-2113 | |
| person.identifier.orcid | 0000-0003-2855-9490 | |
| person.identifier.rid | K-5942-2013 | |
| person.identifier.scopus-author-id | 14827970300 | |
| person.identifier.scopus-author-id | 7402584922 | |
| person.identifier.scopus-author-id | 24176381600 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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| relation.isAuthorOfPublication.latestForDiscovery | 72748d24-0598-4f36-804e-87eebd0d06af |