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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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