Comments on the Phillips'-Miles' theory of wind wave generation

Some ambiguities and omissions in the Phillips'-Miles' theory of wind wave generation are discussed. The details of the theory are revised on the basis of the coupled system of equations for water and air. The results are then applied to a consideration of the statistical properties of the problem. The wavenumber spectrum, corresponding to this model of wind wave generation, is different from the spectrum corresponding to the theories proposed by Phillips (1966) and Miles (1960). The well-known qualitative physical conclusions of the Phillips'-Miles' theory remain unchanged and therefore are not discussed. Only a formal treatment of the problem is presented.