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Long-time behaviour and self-similarity in a coagulation equation with input of...
Costa, Fernando Pestana da; Roessel, Henry J. van; Wattis, Jonathan A. D.For a coagulation equation with Becker-Doring type interactions and time-independent monomer input we study the detailed long-time behaviour of nonnegative solutions and prove the convergence to a self-similar function
Data: 2006
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Origem: Repositório Aberto da Universidade Aberta
A hierarchical cluster system based on Horton-Strahler rules for river networks
Costa, Fernando Pestana da; Grinfeld, Michael; Wattis, Jonathan A. D.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 o...
Data: 2002
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Origem: Repositório Aberto da Universidade Aberta
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