Mathematical Modelling for Polymer Processing by C Salani

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Mathematical Modelling for Polymer Processing by C Salani

Polymers are substances made of macromolecules formed by thousands of atoms organized in one (homopolymers) or more (copolymers) groups that repeat themselves to form linear or branched chains, or lattice structures. The concept of polymer traces back to the years 1920's and is one of the most significant ideas of last century. It has given great impulse to indus try but also to fundamental research, including life sciences. Macromolecules are made of sm all molecules known as monomers. The process that brings monomers into polymers is known as polymerization. A fundamental contri bution to the industrial production of polymers, particularly polypropylene and polyethylene, is due to the Nobel prize winners Giulio Natta and Karl Ziegler. The ideas of Ziegler and Natta date back to 1954, and the process has been improved continuously over the years, particularly concerning the design and shaping of the catalysts. Chapter 1 (due to A. Fasano ) is devoted to a review of some results concerning the modelling of the Ziegler- Natta polymerization. The specific ex am pie is the production of polypropilene. The process is extremely complex and all studies with relevant mathematical contents are fairly recent, and several problems are still open.

From the reviews:

"This book is a monograph in Springer’s Mathematics in Industry series …It is a merit of the book that it can be read without much knowledge of the application area as such, but at the same time contains very useful analyses for researchers … . it is certainly very well suited for a first encounter with a variety of mathematical modeling aspects … . I can also recommend it for modeling classes at the graduate level, as well as to authors … ." (Robert M. M. Mattheij, SIAM Review, Vol. 46 (1), 2004)

"This book provides the first unified presentation of the mathematical modelling of polymerisation, crystallisation and extrusion of polymer melts, by means of advanced methods, presented in an accessible way for applied scientists and engineers. The present volume is the result of a long-term co-operation between different polymer research terms in Europe." (Materials World, Vol. 11 (5), 2003)

Sebastian Aniţa is Full Professor on the Faculty of Mathematics at the University Al.I. Cuza Iaşi, Romania. His research interests include: optimal control of partial differential equations; mathematical biology; mathematical models in the applied sciences; and industrial problems in the areas of heat transfer and materials science. Professor Aniţa is the author of more than 50 scientific papers in refereed international journals, one monograph, and three textbooks.

Viorel Arnaŭtu is Full Professor on the Faculty of Mathematics at the University Al.I. Cuza Iaşi, Romania. His research interests include: numerical methods (theory, algorithms and computer programs) for optimal control problems; numerical methods for Hamilton-Jacobi equations; numerical methods for PDEs and integral equations; and applications to free boundary problems, epidemic models, optimization of plates, laser hardening of steel, 3-D curved mechanical structures, and population dynamics. Professor Arnaŭtu is the author of more than 30 scientific papers in refereed international journals, one monograph, and one textbook.

Vincenzo Capasso is Professor of Probability and Mathematical Statistics at the University of Milano, Italy. He is the Founder and Director of MIRIAM (Milan Research Centre for Industrial and Applied Mathematics) and later of ADAMSS (Research Centre for Advanced Applied Mathematical and Statistical Sciences) at the University of Milan. His research interests include: spatially structured stochastic processes; stochastic geometry; reaction-diffusion systems; statistics of structured stochastic processes; and applications to biology, medicine, and industrial problems. Professor Capasso is the author of more than 150 scientific papers and approximately 10 monographs, edited books, and textbooks by international scientific publishing companies.

SKU Unavailable
ISBN 13 9783642628108
ISBN 10 3642628109
Title Mathematical Modelling for Polymer Processing
Author Vincenzo Capasso
Series Mathematics In Industry
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 2012-08-24
Number of pages 320
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.