This article is cited in 2 papers

Method of Bogolyubov's kinetic equation in nonlinear statistical hydrodynamics

L. Ts. Adzhemyan, F. M. Kuni, T. Yu. Novozhilova


Abstract: Bogolyubov's functional method of constructing the kinetic equation of gases is used to derive nonlinear hydrodynamic equations of the nonequilibrium thermodynamics of condensed systems. Equations obtained by Mori's method of projection operators are the point of departure. The transport coefficients in the equations are constructed from nonsecular fluxes which do not contain conserved quantities. The resulting hydrodynamic equation is not in general, dependent on a small value of the wave numbers. In the case of small wave numbers, the first terms of the expansion with respect to them of the nonlinear contributions to the hydrodynamic equation are constructed.

Received: 26.06.1973

 English version: Theoretical and Mathematical Physics, 1974, 19:1, 398–406

Bibliographic databases:

• 
•