On the condition of continuity in hydrodynamics

Abstract

The condition of continuity (continuity) was first given for the general case in analytical form by Euler, and then later in a different form by Lagrange.In this paper, the motion of the medium is described by means of Euler variables, which are related by Taylor series with Lagrange variables. The first part of the paper relates to a one-component fluid, the second to a two-component fluid.