Costa, Fernando Pestana da2015-09-022016-09-012015Costa, 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.978-3-319-16120-4978-3-319-16121-1http://hdl.handle.net/10400.2/4440We 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.engCoagulation equationsCoagulation-fragmentation equationsbook part10.1007/978-3-319-16121-1_5