Analytic Methods For Coagulationfragmentation Models Volume Ii 1st Edition Jacek Banasiak Author Wilson Lamb Author Philippe Laurencot Author by Jacek Banasiak (author); Wilson Lamb (author); Philippe Laurencot (author) 9780367235482, 9780429280320, 9781000001310, 9781000008159, 9781000014679, 036723548X, 0429280327, 1000001318, 1000008150 instant download after payment.

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.

• 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