 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| D.V. Georgievskii and K.V. Kvachev, "The Lyapunov-Movchan method in problems of the stability of flows and deformation processes," J. Appl. Math. Mech. 78 (6), 621-633 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
6 |
Pages |
621-633 |
| Title |
The Lyapunov-Movchan method in problems of the stability of flows and deformation processes |
| Author(s) |
D.V. Georgievskii (Moscow, Russia, georgiev@mech.math.msu.su)
K.V. Kvachev (Moscow, Russia) |
| Abstract |
The extension of Lyapunov's method to continuous mechanical systems are discussed. An annotated bibliography of papers is given in which, based on the Lyapunov-Movchan method, with the construction of corresponding functionals, a direct analysis is carried out of the stability of motion (deformation) of continuous mechanical systems. The material is divided into sections, devoted to the following: (a) the extension of the mathematical apparatus as a whole to continuous and dynamic systems, (b) the stability of elastic, elastoplastic and viscoelastic deformable solids, (c) stability in aeroelasticity and hydroelasticity theory, (d) the linearized theory of hydrodynamic stability, and (e) the stability with reference to perturbations of material functions in the theory of constitutive relations. |
| Received |
20 August 2013 |
| Link to Fulltext |
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