Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.2/4440
Título: Mathematical aspects of coagulation-fragmentation equations
Autor: Costa, Fernando Pestana da
Palavras-chave: Coagulation equations
Coagulation-fragmentation equations
Data: 2015
Editora: Springer International Publishing
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.
Resumo: 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.
Peer review: yes
URI: http://hdl.handle.net/10400.2/4440
DOI: 10.1007/978-3-319-16121-1_5
ISBN: 978-3-319-16120-4
978-3-319-16121-1
Versão do Editor: http://link.springer.com/chapter/10.1007/978-3-319-16121-1_5
Aparece nas colecções:Matemática e Estatística - Capítulos/artigos em livros internacionais / Book chapters/papers in international books

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