Analytic Methods for Coagulation-Fragmentation Models, Volume I & II (Hardcover)

Analytic Methods for Coagulation-Fragmentation Models is a two-volume 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: Provides a comprehensive and up-to-date survey of knowledge and important results in the field, and brings together two different deterministic analytical approaches for solving the fundamental coagulation-fragmentation equations Presents a state-of-the-art analysis of the long-term dynamics of the models Offers an analytic explanation of phase transitions such as shattering and gelation, appearing for the first time in a book form Includes a self-contained survey of essential mathematical tools from kinetic theory, with applications to specific, but nontrivial, examples of coagulation-fragmentation theory Provides a link between phenomenological results obtained in applied and technological sciences and rigorous mathematical theory

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Release date:	September 2019
First published:	2019
Authors:	Jacek Banasiak • Wilson Lamb • Philippe Laurencot
Dimensions:	254 x 178 x 48mm (L x W x T)
Format:	Hardcover • Hardcover
Pages:	676
ISBN-13:	978-0-367-23544-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	0-367-23544-7
Barcode:	9780367235444

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