The Navier-Stokes equations are derived from scratch in two pages, and
various fluid themes are then touched on: material derivatives,
boundary conditions (no slip, normal stress with surface tension,
kinematic); vorticity, Reynolds number, instability and turbulence,
lubrication theory, droplet dynamics, and their application to ice
sheets (which are droplets with accumulation). The
notes, and also some of the exercises, have further discussion,
particularly on the no slip condition and surface tension.