Steady motions of a continuous medium, resonances and Lagrangian turbulence

Journal of Applied Mathematics and Mechanics

Volumn 66, Issue 6, 2002, Pages 897-904

  Denisova, N V ^a   Kozlov, V V ^a  

^a NONE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036983256     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(02)00132-6     Document Type: Article

References (12)

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2. FRIDMAN, A. A., Experience in the Hydromechanics of a Compressible Fluid. Gostekhizdat, Moscow, 1934.
3. KOZLOV, V. V., The frozen-in condition for a direction field, small denominators and chaotization of the steady flows of a viscous fluid. Prikl, Mat. Mekh., 1999, 63, 2, 237-244.
4. FRISCH, U., Turbulence. The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge, 1996.
5. KOZLOV, V. V., Remarks on the steady turbulent motions of a continuous medium. Prikl. Mat. Mekh., 1983, 47, 2, 341-342.
6. ARNOL'D, V. I., The topology of the three-dimensional steady flows of an ideal fluid. Prikl. Mat. Mekh., 1966, 30, 1, 183-185.
7. KOZLOV, V. V., Dynamical systems determined by the Navier-Stokes equations. Rus. J. Math. Phys., 1993, 1, 1, 57-69.
8. KOZLOV, V. V., Symmetries, Topology, and Resonances in Hamiltonian Mechanics. Izd. Udmurt. Univ., Izhevsk, 1995.
9. POINCARÉ, H., Les Méthodes Nouvelles de la Mécanique Céleste. Vol. 1. Gauthier-Villars, Paris, 1892.
10. BURGERS, J. M., The Nonlinear Diffusion Equation. D. Reidel, Dordrecht, 1974.
11. COURANT, R. and HILBERT, D., Methods of Mathematical Physics. Interscience Publ., New York, 1953.
12. NEMYTSKII, V. V. and STEPANOV, V. V., The Qualitative Theory of Differential Equations. Gostekhizdat, Moscow, 1949.