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Mathematical aspects of coagulation-fragmentation equations
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Autores
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Coagulation equations Coagulation-fragmentation equations
Contexto Educativo
Citação
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.
Editora
Springer International Publishing