Mathematical Modelling of Heat and Mass Transfer Processes: 348 (Mathematics and Its Applications, 348) - Softcover

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

Softcover

ISBN 10: 9401041830 ISBN 13: 9789401041836

Publisher: Springer, 2012

Synopsis

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.

About this title

Product Description

This book presents an up-to-date review of methods for constructing a specific class of asymptotic solutions, called self-stabilizing solutions. This class includes solitons, kinks, travelling waves, etc. Either the solutions for this class or their derivatives are localized in the neighbourhood of a certain curve of surface.
The book can be divided into two parts: Chapters I-V contain the methods for constructing asymptotic solutions, and in Chapters Vi-Vii these are applied to some concrete problems. The Appendix briefly discusses a method for the justification of some asymptotic solutions.
Audience: This book will be of interest to specialists both in differential equations and in the mathematical modelling of physical and chemical processes.

Edition details

• Publisher: Springer
• Publication date: 2012
• Language: English
• ISBN 10: 9401041830
• ISBN 13: 9789401041836
• Binding: Paperback
• Number of pages: 332