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Mathematical Modelling of Heat and Mass Transfer Processes

  • V. G. Danilov
  • V. P. Maslov
  • K. A. Volosov

Part of the Mathematics and Its Applications book series (MAIA, volume 348)

Table of contents

  1. Front Matter
    Pages i-ix
  2. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 1-18
  3. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 35-73
  4. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 74-126
  5. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 127-200
  6. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 201-234
  7. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 235-253
  8. V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 254-294
  9. Back Matter
    Pages 295-323

About this book

Introduction

In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in the neighborhood of a certain curve or surface. For the present edition, the book published in Moscow by the Nauka publishing house in 1987, was almost completely revised, essentially up-dated, and shows our present understanding of the problems considered. The new results, obtained by the authors after the Russian edition was published, are referred to in footnotes. As before, the book can be divided into two parts: the methods for constructing asymptotic solutions ( Chapters I-V) and the application of these methods to some concrete problems (Chapters VI-VII). In Appendix a method for justification some asymptotic solutions is discussed briefly. The final formulas for the asymptotic solutions are given in the form of theorems. These theorems are unusual in form, since they present the results of calculations. The authors hope that the book will be useful to specialists both in differential equations and in the mathematical modeling of physical and chemical processes. The authors express their gratitude to Professor M. Hazewinkel for his attention to this work and his support.

Keywords

Mathematica differential equation hyperbolic equation modeling ordinary differential equation waves

Authors and affiliations

  • V. G. Danilov
    • 1
  • V. P. Maslov
    • 1
  • K. A. Volosov
    • 1
  1. 1.Moscow Institute of Electronics and MathematicsMoscowRussia

Bibliographic information