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Mathematical Modelling of Heat and Mass Transfer Processes

  • Book
  • © 1995

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Authors:
  1. V. G. Danilov

    1. Moscow Institute of Electronics and Mathematics, Moscow, Russia

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  2. V. P. Maslov

    1. Moscow Institute of Electronics and Mathematics, Moscow, Russia

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  3. K. A. Volosov

    1. Moscow Institute of Electronics and Mathematics, Moscow, Russia

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 1-18

  3. Properties of Exact Solutions of Nondegenerate and Degenerate Ordinary Differential Equations

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 19-34

  4. Direct Methods for Constructing Exact Solutions of Semilinear Parabolic Equations

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 35-73

  5. Singularities of Nonsmooth Solutions to Quasilinear Parabolic and Hyperbolic Equations

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 74-126

  6. Wave Asymptotic Solutions of Degenerate Semilinear Parabolic and Hyperbolic Equations

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 127-200

  7. Finite Asymptotic Solutions of Degenerate Equations

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 201-234

  8. Models for Mass Transfer Processes

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 235-253

  9. The Flow Around a Flat Plate

    • V. G. Danilov, V. P. Maslov, K. A. Volosov
    Pages 254-294

  10. Back Matter

    Pages 295-323
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Keywords

About this book

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.

Authors and Affiliations

  • Moscow Institute of Electronics and Mathematics, Moscow, Russia

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

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