Publication
A hierarchical cluster system based on Horton-Strahler rules for river networks
| dc.contributor.author | Costa, Fernando Pestana da | |
| dc.contributor.author | Grinfeld, Michael | |
| dc.contributor.author | Wattis, Jonathan AD | |
| dc.date.accessioned | 2010-07-15T13:42:13Z | |
| dc.date.available | 2010-07-15T13:42:13Z | |
| dc.date.issued | 2002-10 | |
| dc.description.abstract | We consider a cluster system in which each cluster is characterized by two parameters: an \order" i; following Horton-Strahler's rules, and a \mass" j following the usual additive rule. Denoting by ci;j (t) the concen- tration of clusters of order i and mass j at time t; we derive a coagulation- like ordinary di erential system for the time dynamics of these clusters. Results about existence and the behaviour of solutions as t ! 1 are ob- tained, in particular we prove that ci;j (t) ! 0 and Ni(c(t)) ! 0 as t ! 1; where the functional Ni( ) measures the total amount of clusters of a given xed order i: Exact and approximate equations for the time evolution of these functionals are derived. We also present numerical results that sug- gest the existence of self-similar solutions to these approximate equations and discuss its possible relevance for an interpretation of Horton's law of river numbers | pt |
| dc.identifier.citation | Costa, Fernnado Pestana da; Grinfeld, Michael; Wattis, Jonathan A. D. - A hierarchical cluster system based on Horton-Strahler rules for river networks." Studies in Applied Mathematics" [Em linha]. ISSN 1467-9590. Vol.109, nº 3, (October 2002), p. 163-204 | pt |
| dc.identifier.issn | 1467-9590 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/1534 | |
| dc.language.iso | eng | pt |
| dc.publisher | Massachusetts Institute of Technology | pt |
| dc.subject | Coagulation equations | pt |
| dc.subject | Cluster dynamics | pt |
| dc.subject | Horton-Strahler rules | pt |
| dc.title | A hierarchical cluster system based on Horton-Strahler rules for river networks | pt |
| dc.type | preprint | |
| dspace.entity.type | Publication | |
| oaire.citation.title | Studies in Applied Mathematics | pt |
| person.familyName | Costa | |
| person.familyName | Grinfeld | |
| person.familyName | Wattis | |
| person.givenName | Fernando Pestana da | |
| person.givenName | Michael | |
| person.givenName | Jonathan | |
| person.identifier.ciencia-id | 1610-6502-E6C5 | |
| person.identifier.orcid | 0000-0002-9072-797X | |
| person.identifier.orcid | 0000-0002-3897-8819 | |
| person.identifier.orcid | 0000-0002-6490-1938 | |
| person.identifier.rid | K-5942-2013 | |
| person.identifier.scopus-author-id | 14827970300 | |
| person.identifier.scopus-author-id | 7004579824 | |
| rcaap.rights | openAccess | pt |
| rcaap.type | preprint | pt |
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