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Anotace knihy

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

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Analytic Methods for Coagulation-Fragmentation Models
• Autor: Banasiak, Jacek (University of Pretoria, Hatfield, South Africa), Lamb, Wilson (University of Strathclyde, Glasgow, United Kingdom), Laurencot, Philip
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 354
• EAN: 9781498772655
• ISBN: 9781498772655
• ID: 20002143
• Nakladatelství: Taylor & Francis Inc
• Hmotnost: 836 g
• Rozměry: 184 × 262 × 21 mm
• Datum vydání: 20. September 2019

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