[PDF] Transient Behavior Of Coagulation Fragmentation Processes eBook

Author : J. Banasiak
Publisher :
Page : 0 pages
File Size : 50,57 MB
Release : 2019
Category : Mathematics
ISBN : 9780429280320

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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

Author : Jacek Banasiak
Publisher :
Page : 0 pages
File Size : 15,53 MB
Release : 2019
Category : Aggregation (Chemistry)
ISBN : 9780367235482

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The book provides an in-depth survey of coagulation-fragmentation models, followed by a detailed presentation of relevant earlier results in the field.

Author : Jacek Banasiak
Publisher : CRC Press
Page : 676 pages
File Size : 17,62 MB
Release : 2019-09-20
Category : Coagulation
ISBN : 9780367235444

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Analytic Methods for Coagulation-Fragmentation Models is a two-volume 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: Provides a comprehensive and up-to-date survey of knowledge and important results in the field, and brings together two different deterministic analytical approaches for solving the fundamental coagulation-fragmentation equations Presents a state-of-the-art analysis of the long-term dynamics of the models Offers an analytic explanation of phase transitions such as shattering and gelation, appearing for the first time in a book form Includes a self-contained survey of essential mathematical tools from kinetic theory, with applications to specific, but nontrivial, examples of coagulation-fragmentation theory Provides a link between phenomenological results obtained in applied and technological sciences and rigorous mathematical theory

Author :
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Page : 0 pages
File Size : 36,63 MB
Release : 2015
Category :
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Non-local -- Non-autonomous -- Fragmentation-coagulation -- Moving media.

Author : Ansgar Jüngel
Publisher : Springer
Page : 146 pages
File Size : 35,45 MB
Release : 2016-06-17
Category : Mathematics
ISBN : 3319342193

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This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.