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