Analytic Methods for Coagulation-Fragmentation Models, Volume II

Analytic Methods for Coagulation-Fragmentation Models, Volume II (English, Hardcover, Banasiak Jacek)

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Analytic Methods for Coagulation-Fragmentation Models, Volume II  (English, Hardcover, Banasiak Jacek)

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    Highlights
    • Language: English
    • Binding: Hardcover
    • Publisher: Taylor & Francis Ltd
    • Genre: Mathematics
    • ISBN: 9780367235482, 9780367235482
    • Pages: 322
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    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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    Book Details
    Imprint
    • CRC Press
    Dimensions
    Height
    • 254 mm
    Length
    • 178 mm
    Weight
    • 1587 gr
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