The airflow supplies a surface shear and pressure gradient to the fluid which can balance the gravitational drainage effect.
Special attention is given to solitary waves.
We use a model derived by King, Tuck and Vanden-Broeck. It leads to a nonlinear integro differential equation for the unknown free surface elevation. We present a finite difference scheme which enables us to compute solitary wave solutions. It is shown that the solitary waves ultimately approach a blob on the wall, the remaining part of the wall being asymptotically dry.