2. Hydrodynamic equations

2.1 Context

The equations of fluid mechanics occupy a privileged place in the theory of partial differential equations for the following reasons:

1) The ease with which fluid evolution can be observed. This observation is made by many authors, and in particular Leonardo da Vinci's comments on turbulence are a classic of the discipline.

doue la turbulence dellacqua sigenera

doue la turbolenza dellacqua simantiene plugho

doue la turbolenza dellacqua si posa.

The construction of ships and hydraulic structures stimulated an analytical approach to the subject. Frederick II's appeal to Euler (inventor of the fundamental equations of fluid mechanics) to solve the technical...