Macroscopic balances linear momentum

The Macroscopic Linear Momentum Balance and the Equation of Motion, 32... 

THE MACROSCOPIC LINEAR MOMENTUM BALANCE AND THE EQUATION OF MOTION... 

A complete mathematical description of the evolution of a physical quantity in a macroscopic continuous system usually arises from the combination of fundamental conservation laws, like conservation of mass and linear momentum. For a systematic study of systems of conservation laws see Majda (1984). A conservation law states the physical balance between the local variation of the density of a physical quantity (p(r,r) within a given region Q e 9 3 of the space and the flux of this quantity across the external boundary dQ eQ. This law may be written as... 

While the Navier-Stokes equations and Bernoulli s equation, along with the macroscopic mass and linear momentum balances, were clearly available prior to 1888, it seems likely that the general macroscopic mechanical energy balance was not. Nevertheless, the fixed control volume... 

---