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Evolution of perturbations on a weakly inhomogeneous background

✍ Scribed by A.G. Kulikovskii; A.V. Lozovskii; N.T. Pashchenko

Book ID
104020561
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
238 KB
Volume
71
Category
Article
ISSN
0021-8928

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✦ Synopsis

The evolution of growing and decaying one-dimensional linear perturbations on a stationary, weakly inhomogeneous background is investigated studied. Attention is focused on the amplification of waves that arise from initial perturbations, localized in regions whose width is small compared with the inhomogeneity scale. A relation between the Hamiltonian formalism (with a complex dispersion equation) and the saddle-point method is established for an asymptotic representation of the integral that expresses perturbations in terms of the initial data. Model examples of the evolution of perturbations are examined.

πŸ“œ SIMILAR VOLUMES

The effect of a small background inhomog
The effect of a small background inhomogeneity on the asymptotic properties of linear perturbations
✍ A.G. Kulikovskii; N.T. Pashchenko πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 234 KB

General regularities in the evolution of one-dimensional unstable linear perturbations on a weakly inhomogeneous background are studied when, at the initial instant, the perturbations are concentrated in the ␦-neighbourhood of a certain point. Times are considered when these perturbations do not fal