INTEGRAL OF THE EULER EQUATIONS FOR 3D MOTION OF A COMPRESSIBLE MEDIUM

摘要

We consider the classical Euler equations governing the 3D unsteady isothermal motion of an ideal compressible medium in the absence of external mass forces and barotropy, where the pressure, density, and velocity components are unknown. We propose a procedure for reducing the original problem to a family of simpler problems by introducing new associated unknowns.