TY  - BOOK
AU  - Banasiak,J.
AU  - Lamb,Wilson
AU  - Laurençot,Philippe
TI  - Analytic methods for coagulation-fragmentation models
T2  - Chapman & Hall/CRC Monographs and Research Notes in Mathematics
SN  - 9780429280320
AV  - QD547 .B36 2019
U1  - 541/.3415015118 23
PY  - 2019///
CY  - [Place of publication not identified]
PB  - CRC Press
KW  - MATHEMATICS / General
KW  - bisacsh
KW  - MATHEMATICS / Mathematical Analysis
KW  - Coagulation
KW  - Aggregation (Chemistry)
KW  - Semigroups
KW  - Fragmentation reactions
N1  - 6 Introduction to Volume II 7 Mathematical Toolbox II 8 Solvability of Coagulation-Fragmentation Equations 9 Gelation and Shattering 10 Long-Term Behaviour 11 Miscellanea
N2  - 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
UR  - https://www.taylorfrancis.com/books/9780429280320
UR  - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
ER  -