Abstract: It is shown that the invariance of the vorticity, kinetic energy and enstrophy integrals determines the form of the partial differential equation that governs the detailed evolution of two-dimensional nondivergent flows ...

Abstract: From the integral conditions for momentum and kinetic energy balance in the state of fully developed turbulence, it is found possible to estimate the bulk statistical properties of highly turbulent Couette flow as functions ...

Abstract: It is shown that the ensemble mean-square error of forecasts constructed from a particular linear combination of independent and imperfectly correlated predictions is less than that of any of the individual predictions. ...

Abstract: No Abstract Available

Abstract: The primary aim of this article is to derive a complete system of modified hydrodynamical equations which govern a large class of ?meteorological? motions of the atmosphere, but which cannot generate solutions corresponding ...