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Banasiak / Lamb / Laurencot

Analytic Methods for Coagulation-Fragmentation Models, Volume II

Medium: Buch
ISBN: 978-0-367-23548-2
Verlag: Taylor & Francis Ltd
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 II:

- A primer on weak compactness in L 1 and dynamical systems

- A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena

- A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions


Produkteigenschaften


  • Artikelnummer: 9780367235482
  • Medium: Buch
  • ISBN: 978-0-367-23548-2
  • Verlag: Taylor & Francis Ltd
  • Erscheinungstermin: 20.09.2019
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2019
  • Serie: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
  • Produktform: Gebunden
  • Gewicht: 1587 g
  • Seiten: 338
  • Format (B x H x T): 260 x 185 x 25 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

6 Introduction to Volume II

7 Mathematical Toolbox II

8 Solvability of Coagulation-Fragmentation Equations

9 Gelation and Shattering

10 Long-Term Behaviour

11 Miscellanea