Analytic Methods for Coagulation-Fragmentation Models, Volume II
eBook - ePub

Analytic Methods for Coagulation-Fragmentation Models, Volume II

  1. 322 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Analytic Methods for Coagulation-Fragmentation Models, Volume II

About this book

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

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Yes, you can access Analytic Methods for Coagulation-Fragmentation Models, Volume II by Jacek Banasiak,Wilson Lamb,Philippe Laurencot in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Table of Contents
  7. Preface
  8. About the Authors
  9. Symbol Description
  10. 6 Introduction to Volume II
  11. 7 Mathematical Toolbox II
  12. 8 Solvability of Coagulation-Fragmentation Equations
  13. 9 Gelation and Shattering
  14. 10 Long-Term Behaviour
  15. 11 Miscellanea
  16. Bibliography
  17. Index