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Analytic Methods for Coagulation-Fragmentation Models, Volume I: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Autor Jacek Banasiak, Wilson Lamb, Philippe Laurencot
en Limba Engleză Hardback – 20 sep 2019
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
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Specificații

ISBN-13: 9781498772655
ISBN-10: 149877265X
Pagini: 372
Ilustrații: 3 Illustrations, black and white
Dimensiuni: 178 x 254 x 21 mm
Greutate: 0.82 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics


Cuprins

1 Basic Concepts
2 Coagulation and Fragmentation
3 Mathematical Toolbox I
4 Semigroup Methods for Fragmentation Models
5 Classical Solutions of Fragmentation Equations

Descriere

The book provides an in-depth survey of coagulation-fragmentation models, followed by a detailed presentation of relevant earlier results in the field.