@article{oai:nagoya.repo.nii.ac.jp:00030906,
 author = {Kuwabara, Shinzi},
 issue = {2},
 journal = {Memoirs of the Faculty of Engineering, Nagoya University},
 month = {Mar},
 note = {Statistical hydrodynamics, which is the generalization of the classical statistical mechamics for the Hamiltonian dynamical system, is outlined (in I). Statistical hydrodynamics is much more complicated, because the hydrodynamical system has continuous, infinite degrees of freedom, although the Hamiltonian system has discrete, finite degrees of freedom. Three solution methods of the initial value problem for the Hopf equation, which is the basic epuation of statistical hydrodynamics, are proposed (in II, III and IV). They are applied to the Burgers turbulence, which is the simplified model turbulence of the Navier-Stokes real turbulence. Numerical calculations are carried out for some examples of the homogeneous turbulence, in which the initial energy spectra are chosen as the typical ones. The three methods are compared and criticized (in V).},
 pages = {245--288},
 title = {Statistical hydrodynamics for the burgers turbulence},
 volume = {30},
 year = {1979}
}