Comments:

453 pages, 3Mb PDF, 2000, Translated by James F. Heyda from an original Russian manuscript

Abstract:

A well-written mathematical physics book with a very wide range of applications to non-linear dynamical systems. Translated abstract quote: "Traveling wave solutions of parabolic systems describe a wide class of phenomena in combustion physics, chemical kinetics, biology, and other natural sciences. The book is devoted to the general mathematical theory of such solutions. The authors describe in detail such questions as existence and stability of solutions, properties of the spectrum, bifurcations of solutions, approachof solutions of the Cauchy problem to waves and systems of waves. The final part of the book is devoted to applications to combustion theory and chemical kinetics. The book can be used by graduate students and researchers specializing in nonlinear differential equations, as well as by specialists in other areas (engineering, chemical physics, biology), where the theory of wave solutions of parabolic systems can be applied."

Rights:

Open access: http://www.ams.org/online_bks/mmono140/ Traveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert Publication Date: 1994 AMS Free Publications list

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