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(DOWNLOAD) "Analytic Methods for Coagulation-Fragmentation Models, Volume II" by Jacek Banasiak, Wilson Lamb & Philippe Laurencot # Book PDF Kindle ePub Free

Analytic Methods for Coagulation-Fragmentation Models, Volume II

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eBook details

  • Title: Analytic Methods for Coagulation-Fragmentation Models, Volume II
  • Author : Jacek Banasiak, Wilson Lamb & Philippe Laurencot
  • Release Date : January 05, 2019
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 38561 KB

Description

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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