Analytic Methods for Coagulation-Fragmentation Models Volume I

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 I: The main models of the theory together with their derivations and early methods of solution A detailed presentation of the operator theoretical methods and semigroup theory that play an essential role in the theory of fragmentation processes A comprehensive theory of fragmentation processes, including fragmentation with growth and decay in both the discrete and continuous particle size cases An analytical explanation of the `pathologies' of the fragmentation equation, such as the shattering phase transition and non-uniqueness of solutions An analysis of the long-term dynamics of the discrete size fragmentation equation with growth Additional ISBNs149877265X, 1498772668, 1315154420, 9781498772655, 9781498772662, 9781315154428Analytic Methods for Coagulation-Fragmentation Models, Volume I 1st Edition is written by Jacek Banasiak; Wilson Lamb; Philippe Laurencot and published by Chapman & Hall. ISBNs for Analytic Methods for Coagulation-Fragmentation Models, Volume I are 9781351650465, 1351650467 and the print ISBNs are 9781498772655, 149877265X. Additional ISBNs include 149877265X, 1498772668, 1315154420, 9781498772655, 9781498772662, 9781315154428.