 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.G. Kulikovskii and N.T. Pashchenko, "The effect of a small background inhomogeneity on the asymptotic properties of linear perturbations," J. Appl. Math. Mech. 74 (2), 127-134 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
2 |
Pages |
127-134 |
| Title |
The effect of a small background inhomogeneity on the asymptotic properties of linear perturbations |
| Author(s) |
A.G. Kulikovskii (Moscow, Russia, kulik@mi.ras.ru)
N.T. Pashchenko (Moscow, Russia) |
| Abstract |
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 δ-neighbourhood of a certain point. Times are considered when these perturbations do not fall outside the limits of a certain domain of size l such that δ«l«L, where L is the large characteristic size of the background inhomogeneity. With contain assumptions, the effect of the background inhomogeneity on the asymptotic behaviour of the perturbations at long times is taken into account in a general form. The first corrections to the well known asymptotic relation for the evolution of perturbations on a homogeneous background, that arise because of background inhomogeneity, are obtained using Hamilton's method. An example of the use of the proposed approximate method is considered and the error in the approximation is estimated. |
| Received |
08 July 2009 |
| Link to Fulltext |
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