ABSTRACT
The search for solutions to the Navier–Stokes equations has known three eras. The first one was based on explicit formulas for hydrodynamic potentials, given by Lorentz (1896 [289]) and Oseen (1911 [327]), and further used by Leray in his seminal work introducing weak solutions (1934 [276]). Then, in the fifties, a second approach was developed by Hopf [200] and Ladyzhenskaya [221], based on the Faedo–Galerkin approximation method who turned the partial differential equations into the study of an ordinary differential equation in a finite-dimensional space.
