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A stability analysis for semilinear Neumann problems with concave non-linearities

✍ Scribed by C. Bandle; C. M. Brauner; C. Schmidt-Lainé

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
770 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper is concerned with non‐linear parabolic problems. This particular type of probiem arose from the study of the instability of transverse detonation waves in channels. A fairly complete account of the equilibrium states is given. A global approach is adopted for the upper and lower solutions and the energy estimates. Finally, the invariant manifolds that describe the asymptotic behaviour of the solutions near the equilibrium states are discussed.

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