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Banasiak / Lamb / Laurencot

Analytic Methods for Coagulation-Fragmentation Models, Volume I

Medium: Buch
ISBN: 978-1-4987-7265-5
Verlag: Taylor & Francis Inc
Erscheinungstermin: 20.09.2019
Lieferfrist: bis zu 10 Tage

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


Produkteigenschaften


  • Artikelnummer: 9781498772655
  • Medium: Buch
  • ISBN: 978-1-4987-7265-5
  • Verlag: Taylor & Francis Inc
  • Erscheinungstermin: 20.09.2019
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2019
  • Serie: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
  • Produktform: Gebunden
  • Gewicht: 836 g
  • Seiten: 372
  • Format (B x H x T): 262 x 184 x 21 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

1 Basic Concepts

2 Coagulation and Fragmentation

3 Mathematical Toolbox I

4 Semigroup Methods for Fragmentation Models

5 Classical Solutions of Fragmentation Equations