Analytic Methods for Coagulation-Fragmentation Models is a
two-volume set that provides a comprehensive exposition of the
mathematical analysis of coagulation-fragmentation models.
Initially, an in-depth survey of coagulation-fragmentation
processes is presented, together with an account of relevant early
results obtained on the associated model equations. These provide
motivation for the subsequent detailed treatment of more up-to-date
investigations which have led to significant theoretical
developments on topics such as solvability and the long-term
behaviour of solutions. To make the account as self-contained as
possible, the mathematical tools that feature prominently in these
modern treatments are introduced at appropriate places. The main
theme of Volume I is the analysis of linear fragmentation models,
with Volume II devoted to processes that involve the nonlinear
contribution of coagulation. Features of Volume II: A primer on
weak compactness in L 1 and dynamical systems A comprehensive
theory of solvability of the coagulation-fragmentation equation by
both the semigroup and weak compactness methods, including a
thorough analysis of the gelation and shattering phenomena A
detailed analysis of the long-term dynamics of the
coagulation-fragmentation equations with a state-of-the-art
discussion on self-similar solutions
General
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