文档介绍：Translations of
MATHEMATICAL
MONOGRAPHS
Volume 140
Traveling Wave Solutions
of Parabolic Systems
Aizik I. Volpert
Vitaly A. Volpert
Vladimir A. Volpert
M
THE ATI
A CA
M L
ΤΡΗΤΟΣΜΗ
N ΕΙΣΙΤΩ S
A O
C C
I
I American Mathematical Society
R E
E
T
ΑΓΕΩΜΕ
Y
M
A Providence, Rhode Island
F
O 8
U 88
NDED 1
A. I. Volpert, Vit. A. Volpert, Vl. A. Volpert
BEGUWIE VOLNY, OPISYVAEMYE
PARABOLIQESKIMI SISTEMAMI
Translated by James F. Heyda from an original Russian manuscript
2000 Mathematics Subject Classification. Primary 35K55, 80A30;
Secondary 92E10, 80A25.
Abstract. Traveling wave solutions of parabolic systems describe a wide class of phenomena in
combustion physics, chemical ics, 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, approach
of solutions of the Cauchy problem to waves and systems of waves. The final part of the book is
devoted to applications bustion theory and chemical ics.
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.
Library of Congress Cataloging-in-Publication Data
Volpert,.(A˘ızik Isaakovich)
[Begushchie volny, opisyvaemye parabolicheskimi sistemami. English]
Traveling wave solutions of parabolic systems/Aizik I. Volpert, Vitaly A. Volpert, Vladimir A.
Volpert.
p. cm. —(Translations of mathematical monographs, ISSN 0065-9282; v. 140)
Includes bibliographical references.
ISBN 0-8218-4609-4 (acid-free)
1. Differential equations, Parabolic. 2. Differential equations, Nonlinear. 3. Chemical
ics—Mathematical models. I. Volpert, Vitaly A., 1958–. II. Volpert, Vla