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Spectral Stability of Traveling Water Waves: Analytic Dependence of the Spectrum

✍ Scribed by David P. Nicholls

Publisher
Springer
Year
2007
Tongue
English
Weight
372 KB
Volume
17
Category
Article
ISSN
0938-8974

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Spectrum of some integro-differential op
Spectrum of some integro-differential operators and stability of travelling waves
✍ A. Ducrot; M. Marion; V. Volpert πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 322 KB

Spectral properties of some integro-differential operators on R 1 are studied. Characterisation of the principal eigenvalue is obtained in terms of the positive eigenfunction. These results are used to prove local and global stability of travelling waves and to find their speed.