Euler’s Equation of Continuity: Additional Terms of High Order of Smallness—An Overview

Professor N.E. Zhukovsky was a famous Russian mechanic and engineer. In 1876 he defended his master’s thesis at Moscow University. At careful reading of Zhukovsky’s in 1997, V.A. Bubnov—a professor the City Pedagogical University—discovered terms second order smallness continuity equation for an incompressible fluid. calculated them, but did not use amount substance balance. Ten years later, author found high-order Euler’s derivation 1752 The physical meaning additional became clear after 2006 with high compressible gas. higher penetrate into inhomogeneous part wave lead to generation self-oscillations, vibrations, sound, initial stage turbulent pulsations. stochastic approach ensured success modeling flows. Euler makes it possible transfer description some motions from deterministic part. article contains review works equation. These