The regular method for construction of kinetic equations of the long-w
ave fluctuation theory is developed in a microscopic approach on the b
ase of generalization of the kinetic Bogolyubov theory. The transition
to the hydrodynamic theory of long-wave fluctuations is investigated
in detail. The derived hydrodynamical equations describe a turbulent l
iquid state. The stochastic interpretation of both kinetic equations a
nd hydrodynamical equations of long-wave fluctuation is presented. The
generalization of the local-equilibrium Maxwell distribution is obtai
ned and the concept of nonequilibrium entropy for fluctuating systems
is introduced. The H-theorem is proved.