Analytic Methods for Coagulation-Fragmentation Models

Name: Analytic Methods for Coagulation-Fragmentation Models
Brand: Taylor & Francis Inc
SKU: 9781498772655
Price: 241.61 EUR
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Автор: Banasiak, Jacek (University of Pretoria, Hatfield, South Africa), Lamb, Wilson (University of Strathclyde, Glasgow, United Kingdom), Laurencot, Philip

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Издател: Taylor & Francis Inc

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Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehens...

Информация за книгата

Автор

Banasiak, Jacek (University of Pretoria, Hatfield, South Africa), Lamb, Wilson (University of Strathclyde, Glasgow, United Kingdom), Laurencot, Philip

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2019

страници

354

EAN

9781498772655

ISBN

9781498772655

Enbook ID

20002143

Издател

Taylor & Francis Inc

Теглоt

836

Размери

262 x 184 x 21

Пълно описание

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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