
Analytic Methods for Coagulation-Fragmentation Models, Volume I
Description
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Features of Volume I:
The main models of the theory together with their derivations and early methods of solution
A detailed presentation of the operator theoretical methods and semigroup theory that play an essential role in the theory of fragmentation processes
A comprehensive theory of fragmentation processes, including fragmentation with growth and decay in both the discrete and continuous particle size cases
An analytical explanation of the `pathologies' of the fragmentation equation, such as the shattering phase transition and non-uniqueness of solutions
An analysis of the long-term dynamics of the discrete size fragmentation equation with growth
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Persons
Wilson Lamb is an Honorary Research Fellow at the University of Strathclyde, Scotland, having retired recently from his position there as a Senior Lecturer in Mathematics. He is also a Member of the Associate Faculty of the African Institute for Mathematical Sciences. His main research interests lie in Applicable Functional Analysis, Evolution Equations and the Mathematical Analysis of Coagulation and Fragmentation Processes. He has published over 45 refereed research publications, and has given lecture courses at all levels to undergraduate and postgraduate students. These include courses on differential equations, functional analysis, dynamical systems and mathematical biology. He was nominated for the University of Strathclyde Students' Association Teaching Excellence Awards in 2012, 2013 and 2014; in 2013, he was shortlisted for the category of "Best in Science Faculty".
Philippe Laurencot is Directeur de Recherche (senior researcher) at the Centre National de la Recherche Scientifique (CNRS) and is affiliated with the Institut de Mathematiques de Toulouse, France. His main research interests include the mathematical analysis of evolution partial differential equations, dynamical system approach to evolution partial differential equations, coagulation equations and mathematical models in biology. He is the author of over 170 scientific publications and has given invited talks all over the world.
Content
2 Coagulation and Fragmentation
3 Mathematical Toolbox I
4 Semigroup Methods for Fragmentation Models
5 Classical Solutions of Fragmentation Equations
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