Statistical solutions of Euler's equations

Solutions of nonstationary Euler equations on a torus in R³are investigated. For a broad class of random initial velocity fields a measure in L₂(× [0, T]) is constructed, the moments of which for any finite T are solutions of the corresponding chain of moment equations.Translated from Problemy Matematicheskogo Analiza, No. 11, pp. 27–37, 1990.