A theoretical remark about waves on a static water surface beneath a layer of moving air
Abstract
Grundy and Tuck (1987) treat the problem of largeamplitude waves on an airwater interface where the air is a steady nonuniform flow and the water is stationary. Both periodic nonlinear Stokeslike waves far downstream and a configuration of the water surface from the edge region of a hovercraft were computed. However, there is no work that treats the existence of such Stokeslike waves theoretically. The present work aims to prove the existence of such solutions in the case where the cushion pressure is low, that is, the depression at the upstream stagnation point from the mean water level is small.
 Publication:

SIAM Journal of Applied Mathematics
 Pub Date:
 December 1990
 Bibcode:
 1990SJAM...50.1566K
 Keywords:

 Air Flow;
 Air Water Interactions;
 Integral Equations;
 LiquidVapor Interfaces;
 Nonlinear Equations;
 Surface Waves;
 Air Jets;
 Iterative Solution;
 Mathematical Models;
 Plane Waves;
 Fluid Mechanics and Heat Transfer