© 2015

Evolutionary Equations with Applications in Natural Sciences

  • Jacek Banasiak
  • Mustapha Mokhtar-Kharroubi
  • 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 Lecture Notes in Mathematics book series (LNM, volume 2126)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Jacek Banasiak
    Pages 133-198
  3. Philippe Laurençot
    Pages 199-253
  4. Mustapha Mokhtar-Kharroubi
    Pages 319-386
  5. Anna Marciniak-Czochra
    Pages 387-438
  6. Back Matter
    Pages 495-496

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.

The 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.


34GXX,35QXX,47DXX,92BXX,65MXX,35KXX,60JXX. Complex dynamics Evolution equations Fragmentation-coagulation equations Long term dynamics and patter formation Probabilistic methods in functional analysis

Editors and affiliations

  • Jacek Banasiak
    • 1
  • Mustapha Mokhtar-Kharroubi
    • 2
  1. 1.School of Mathematics, Statistics and Computer ScienceUniversity of KwaZulu-NatalDurbanSouth Africa
  2. 2.Département de MathématiquesUFR des Sciences et TechniquesBesançonFrance

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