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Book Review
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Book Information
Author(s):
Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert
Title:
Traveling wave solutions of parabolic systems
Additional book information:
Transl. Math. Monographs, vol. 140, Amer. Math. Soc., Providence, RI, 1994, xii + 448 pp., US$142.00. ISBN 0-8218-4609-4
References:
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- C.K.R.T. Jones, Stability of the traveling wave solution of the Fitzhugh-Nagumo system, Trans. Amer. Math. Soc. 286 (1984), 431-469. MR 760971 (86b:35011)
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- C.K.R.T. Jones and N. Kopell, Tracking invariant manifolds with differential forms, J. Differential Equations 108 (1994), 64-88. MR 1268351 (95c:34085)
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- T. Kapitula, On the weighted stability of travelling waves in weighted
spaces, J. Differential Equations 112 (1994), 179-215. MR 1287557 (95h:35107) - [16]
- H. Kokubu, Y. Nishiura, and H. Oka, Heteroclinic and homoclinic bifurcations in bistable reaction-diffusion systems, J. Differential Equations 86 (1990), 260-341. MR 1064014 (92a:58128)
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- A. N. Komolgorov, I. G. Petrovskii, and N. S. Piskunov, Etude de l'equation de la chaleur avec croissance de la quantite de matiere et son application a un probleme biologique, Bull. Moscov. Gos. Univ. Mat. Mekh. 1 (1937), 1-25.
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- T.-P. Liu, Nonlinear stability of shock waves for viscous conservation laws, Mem. Amer. Math. Soc. 328 (1985). MR 791863 (87a:35127)
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- C. McCord and K. Mishaikow, Connected simple systems, transition matrices, and heteroclinic bifurcations, Trans. Amer. Math. Soc. 333 (1992), 397-422. MR 1059711 (92k:58193)
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- K. Mishaikow and V. Hutson, Travelling waves for mutualist species, SIAM J. Math. Anal. 24 (1993), 987-1008. MR 1226860 (94m:92013)
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Additional Information:
Reviewer(s):
Robert
Gardner
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
446-452.
DOI:
10.1090/S0273-0979-1995-00607-5
PII:
S 0273-0979(1995)00607-5
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