Publication
On the dynamic scaling behaviour of solutions to the discrete Smoluchowski equations
| dc.contributor.author | Costa, Fernando Pestana da | |
| dc.date.accessioned | 2010-05-14T13:52:24Z | |
| dc.date.available | 2010-05-14T13:52:24Z | |
| dc.date.issued | 1996 | |
| dc.description.abstract | In this paper we generalize recent results of Kreer and Penrose by showing that solutions to the discrete Smoluchowski equations $$\dot{c}_{j} = \sum_{k=1}^{j-1}c_{j-k}c_{k} - 2c_{j}\sum_{k=1}^{\infty}c_{k}, j = 1, 2, \ldots$$ with general exponentially decreasing initial data, with density $\rho,$ have the following asymptotic behaviour $$\lim_{j, t \rightarrow\infty, \xi = j/t fixed, j \in {\cal J}} t^{2}c_{j}(t) = \frac{q}{\rho}\, e^{-\xi/\rho},$$ where ${\cal J} = \{j: c_{j}(t)>0, t>0\}$ and $q =\gcd \{j: c_{j}(0)>0\}.$ | pt |
| dc.description.version | peerreviewed | |
| dc.identifier.citation | Costa, Fernando Pestana da - On the dynamic scaling behaviour of solutions to the discrete Smoluchowski equations. "Proceedings of the Edinburgh Mathematical Society" [Em linha]. ISSN 0013-0915 (Print)1464-3839 (Online). Nº 39 (1996), p. 547-559 | pt |
| dc.identifier.issn | 0013-0915 (Print) | |
| dc.identifier.issn | 1464-3839 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/1470 | |
| dc.language.iso | eng | pt |
| dc.publisher | Cambridge University Press | pt |
| dc.relation.publisherversion | http://journals.cambridge.org/action/displayFulltext?type=1&fid=3084860&jid=PEM&volumeId=39&issueId=03&aid=3084852# | pt |
| dc.subject | Smoluchowski coagulation equations | pt |
| dc.subject | Self-similar solutions | |
| dc.title | On the dynamic scaling behaviour of solutions to the discrete Smoluchowski equations | pt |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 559 | pt |
| oaire.citation.startPage | 547 | pt |
| oaire.citation.title | Proceedings of the Edinburgh Mathematical Society | pt |
| person.familyName | Costa | |
| person.givenName | Fernando Pestana da | |
| person.identifier.ciencia-id | 1610-6502-E6C5 | |
| person.identifier.orcid | 0000-0002-9072-797X | |
| person.identifier.rid | K-5942-2013 | |
| person.identifier.scopus-author-id | 14827970300 | |
| rcaap.rights | openAccess | pt |
| rcaap.type | article | pt |
| relation.isAuthorOfPublication | 72748d24-0598-4f36-804e-87eebd0d06af | |
| relation.isAuthorOfPublication.latestForDiscovery | 72748d24-0598-4f36-804e-87eebd0d06af |