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

Mathematical Modelling of Heat and Mass Transfer Processes

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Mathematics and Its Applications 348
• Verlag: Springer Netherlands / Springer, Berlin
• 1995.
• Seitenzahl: 336
• Erscheinungstermin: 31. Oktober 1995
• Englisch
• Abmessung: 241mm x 160mm x 24mm
• Gewicht: 613g
• ISBN-13: 9780792337898
• ISBN-10: 0792337891
• Artikelnr.: 24451606

Inhaltsangabe

Preface. From the preface to the Russian edition. Introduction. I: Properties of exact solutions of nondegenerate and degenerate ordinary differential equations. II: Direct methods for constructing exact solutions of semilinear parabolic equations. III: Singularities of nonsmooth solutions to quasilinear parabolic and hyperbolic equations. IV: Wave asymptotic solutions of degenerate semilinear parabolic and hyperbolic equations. V: Finite asymptotic solutions of degenerate equations. VI: Models for mass transfer processes. VII: The flow around a plate. References. Appendix: Justification of asymptotic solutions; S.A. Vakulenko.