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Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Analytic Methods for Coagulation-Fragmentation Models, Volume II

Laurencot, Philippe (Universite Paul Sabatier - Toulouse 3, France) & Lamb, Wilson (University of Strathclyde, Glasgow, United Kingdom) & Banasiak, Jacek (University of Pretoria, Hatfield, South Africa)

Analytic Methods for Coagulation-Fragmentation Models, Volume II

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Analytic Methods for Coagulation-Fragmentation Models, Volume II

Chapman & Hall/CRC Monographs and Research Notes in Mathematics: Analytic Methods for Coagulation-Fragmentation Models, Volume II

 

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.


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Beschrijving Chapman & Hall/CRC Monographs and Research Notes in Mathematics: Analytic Methods for Coagulation-Fragmentation Models, Volume II

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



 


ISBN
9780367235482
Pagina's
322
Verschenen
Serie
Chapman & Hall/CRC Monographs and Research Notes in Mathematics
NUR
910
Druk
1
Uitvoering
Hardback
Taal
Engels
Uitgever
Taylor & Francis Ltd

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