Mathematical Aspects of Coagulation-Fragmentation Equations

摘要: We give an overview of the mathematical literature on coagulation-like equations, from analytic deterministic perspective. In Sect. 1 we present coagulation type equations more commonly encountered in scientific and provide a brief historical relevant works. 2 results about existence uniqueness solutions some those systems, namely discrete Smoluchowski coagulation-fragmentation: start by description function spaces, then review with main ideas proofs. This part closes consideration results. Sects. 3 4 are concerned several aspects behaviour. pay special attention to long time convergence equilibria, self-similar behaviour, density conservation or lack thereof.