From Newton’s mechanics to Euler’s equations
Abstract
The Euler equations of hydrodynamics, which appeared in their present form in the 1750s, did not emerge in the middle of a desert. We shall see in particular how the Bernoullis contributed much to the transmutation of hydrostatics into hydrodynamics, how d’Alembert was the first to describe fluid motion using partial differential equations and a general principle linking statics and dynamics, and how Euler developed the modern concept of internal pressure field which allowed him to apply Newton’s second law to infinitesimal elements of the fluid.
 Publication:

Physica D Nonlinear Phenomena
 Pub Date:
 August 2008
 DOI:
 10.1016/j.physd.2007.08.003
 Bibcode:
 2008PhyD..237.1855D