| dc.contributor.author | Costa, Fernando Pestana da | |
| dc.date.accessioned | 2015-09-02T14:26:40Z | |
| dc.date.available | 2016-09-01T00:30:10Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We give an overview of the mathematical literature on the coagulation-like equations, from an analytic deterministic perspective. In Section 1 we present the coagulation type equations more commonly encountered in the scientific and mathematical literature and provide a brief historical overview of relevant works. In Section 2 we present results about existence and uniqueness of solutions in some of those systems, namely the discrete Smoluchowski and coagulation-fragmentation: we start by a brief description of the functional spaces, and then review the results on existence of solutions with a brief description of the main ideas of the proofs. This part closes with the consideration of uniqueness results. In Sections 3 and 4 we are concerned with several aspects of the solutions behaviour.We pay special attention to the long time convergence to equilibria, self-similar behaviour, and density conservation or lack thereof. | por |
| dc.description.sponsorship | Fundação para a Ciência e a Tecnologia, LA 9 - 2013-2014 | |
| dc.identifier.citation | Costa, Fernando Pestana da - Mathematical aspects of coagulation-fragmentation equations. In Bourguignon, Jean-Pierre [et al.], eds. - "Mathematics of energy and climate change" [Em linha]. [S.l.] : Springer, 2015. ISBN 978-3-319-16121-1. 74 p. | por |
| dc.identifier.doi | 10.1007/978-3-319-16121-1_5 | |
| dc.identifier.isbn | 978-3-319-16120-4 | |
| dc.identifier.isbn | 978-3-319-16121-1 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/4440 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer International Publishing | por |
| dc.relation.publisherversion | http://link.springer.com/chapter/10.1007/978-3-319-16121-1_5 | por |
| dc.subject | Coagulation equations | por |
| dc.subject | Coagulation-fragmentation equations | por |
| dc.title | Mathematical aspects of coagulation-fragmentation equations | por |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Cham, Switzerland | por |
| oaire.citation.endPage | 162 | por |
| oaire.citation.startPage | 83 | por |
| oaire.citation.title | Mathematics of Energy and Climate Change | por |
| oaire.citation.volume | CIM Series in Mathematical Sciences, vol. 2 | por |
| 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 | por |
| rcaap.type | bookPart | por |
| relation.isAuthorOfPublication | 72748d24-0598-4f36-804e-87eebd0d06af | |
| relation.isAuthorOfPublication.latestForDiscovery | 72748d24-0598-4f36-804e-87eebd0d06af |
