Overview
- Unique combination of mathematical methods and their applications to analysis of models from natural sciences
- Unique blend of analytic and probabilistic methods for evolutionary equation
- Comprehensive presentation of main methods of analysis of deterministic fragmentation and coagulation models
- Comprehensive exposition of probabilistic methods for long term dynamics of evolution equations
- Up to date presentation of pattern formations
- Numerics for flows in complex geometries
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2126)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory.
Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory.
The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.
Editors and Affiliations
Bibliographic Information
Book Title: Evolutionary Equations with Applications in Natural Sciences
Editors: Jacek Banasiak, Mustapha Mokhtar-Kharroubi
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-11322-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-11321-0Published: 19 November 2014
eBook ISBN: 978-3-319-11322-7Published: 07 November 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 493
Number of Illustrations: 21 b/w illustrations, 37 illustrations in colour
Topics: Partial Differential Equations, Mathematical and Computational Biology, Mathematical Physics, Graph Theory, Dynamical Systems and Ergodic Theory, Operator Theory