Analytic Methods for Coagulation-Fragmentation Models, Volume II

by Wilson Lamb, Jacek Banasiak, Philippe Laurencot

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

• Format: Hardcover
• Language: English
• ISBN: 036723548X
• ISBN13: 9780367235482
• Release Date: September 2019
• Publisher: CRC Press
• Length: 322 Pages
• Weight: 1.85 lbs.
• Dimensions: 0.9" x 7.2" x 10.2"