Monotonicity properties of certain two-dimensional incompressible vortex flows and subsonic gas flows (Q1314167)

It is proved that the pressure varies monotonically along certain sections of bodies and boundaries of flow regions, and that the isobars in the flow around convex bodies have no internal branch points (saddle points). The method used is the method of isobars, which is based on the fact that the angle of inclination of the velocity vector varies monotonically along curves of constant pressure (isobars).