Kniha Analytic Methods for Coagulation-Fragmentation Models Banasiak

Analytic Methods for Coagulation-Fragmentation Models

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: 50 % šance
Prohledáme celý svět
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Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehens...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2019
Stránek
354
EAN
9781498772655
ISBN
9781498772655
Enbook ID
20002143
Hmotnost
836
Rozměry
262 x 184 x 21

Kompletní popis

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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