 | | 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
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| V.V. Kozlov, "On the equations of the hydrodynamic type," J. Appl. Math. Mech. 80 (3), 209-214 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
3 |
Pages |
209-214 |
| DOI |
10.1016/j.jappmathmech.2016.07.002 |
| Title |
On the equations of the hydrodynamic type |
| Author(s) |
V.V. Kozlov (V.A. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia, kozlov@pran.ru) |
| Abstract |
The conditions of stability of 'pure' equilibrium states of finite-dimensional dynamical systems of the hydrodynamic type are indicated. Integrable chains allowing full sets of quadratic first integrals are found. The conditions of existence of invariant Gaussian measures in the infinite-dimensional case are discussed. The existence of such measures makes it possible to establish the properties of recurrence of solutions of infinite-dimensional dynamical systems of the hydrodynamic type. |
| Received |
22 December 2015 |
| Link to Fulltext |
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