1st Edition

Analytic Methods for Coagulation-Fragmentation Models, Volume I & II

710 Pages 3 B/W Illustrations
by CRC Press

Analytic Methods for Coagulation-Fragmentation Models is a two-volume 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... Read more

1 Basic Concepts

2 Coagulation and Fragmentation

3 Mathematical Toolbox I

4 Semigroup Methods for Fragmentation Models

5 Classical Solutions of Fragmentation Equations

6 Introduction to Volume II

7 Mathematical Toolbox II

8 Solvability of Coagulation-Fragmentation Equations

9 Gelation and Shattering

10 Long-Term Behaviour

11 Miscellanea

Biography

Jacek Banasiak is a Professor of Mathematics at the University of Pretoria, South Africa, where he holds DST/NRF Research Chair in Mathematical Models and Methods in Biosciences and Bioengineering,  and at Łódź University of Technology, Poland. His main research areas are functional analytic methods in kinetic theory and mathematical biology, singular perturbations, general applied analysis and partial differential equations and evolution problems. He is the author/co-author of 5 monographs and over 120 papers in these fields. He is also Editor-in-Chief of Afrika Matematika (Springer). In 2012 received the South African Mathematical Society Award for Research Distinction and in 2013 he was awarded the Cross of Merit (Silver) of the Republic of Poland.

Wilson Lamb is a Senior Lecturer at the University of Strathclyde, Scotland. His main interests lie in Functional Analysis, Applied Analysis, Evolution Equations, Mathematical Analysis of Coagulation and Fragmentation Processes. He has published over 45 refereed research publications. He has given lecture courses at all levels to Mathematics degree students and to Science and Engineering students. These include courses on elementary calculus and algebra, discrete mathematics, multivariable calculus, linear algebra and vector space theory. 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 Laurençot is the Director of research (senior researcher) CNRS 1, Institut de Math ematiques de Toulouse, Universite Paul Sabatier. 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.