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Traveling Wave Solutions of Parabolic Systems (Translations of Mathematical Monographs, Vol 140) by Vitaly A. Volpert, and Vladimir A. Volpert Aizik I. Volpert is a nonfiction available to read on EtoBox.

What is Traveling Wave Solutions of Parabolic Systems (Translations of Mathematical Monographs, Vol 140) about?

The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems, their existence, stability, and bifurcations. The main part of the book contains original approaches developed by the authors. Among these are a description of the long-term behavior of the solutions by systems of waves; construction of rotations of vector fields for noncompact operators describing wave solutions; a proof of the existence of waves by the Leray-Schauder method; local, global, and nonlinear stability analyses for some classes of systems; and a determination of the wave velocity by the minimax method and the method of successive approximations. The authors show that wide classes of reaction-diffusion systems can be reduced to so-called monotone and locally monotone systems. This fundamental result allows them to apply the theory to combustion and chemical kinetics. With introductory material accessible to nonmathematicians and a nearly complete bibliography of about 500 references, this book is an excellent resource on the subject. Mathematici

Who reads Traveling Wave Solutions of Parabolic Systems (Translations of Mathematical Monographs, Vol 140)?

Author

Vitaly A. Volpert, and Vladimir A. Volpert Aizik I. Volpert

Publisher

Amer Mathematical Society; American Mathematical Society

Published

1994

Language

EN

ISBN

9780821833933

Category

nonfiction

Subjects

Mathematics, Differential Equations, Stem