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portada Analytic Methods for Coagulation-Fragmentation Models, Volume i (Chapman & Hall (in English)
Type
Physical Book
Publisher
Year
2019
Language
English
Pages
372
Format
Hardcover
ISBN13
9781498772655
Edition No.
1

Analytic Methods for Coagulation-Fragmentation Models, Volume i (Chapman & Hall (in English)

Jacek Banasiak; Wilson Lamb; Philippe Laurencot (Author) · Crc Pr Inc · Hardcover

Analytic Methods for Coagulation-Fragmentation Models, Volume i (Chapman & Hall (in English) - Jacek Banasiak; Wilson Lamb; Philippe Laurencot

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Synopsis "Analytic Methods for Coagulation-Fragmentation Models, Volume i (Chapman & Hall (in English)"

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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The book is written in English.
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