This research is supported by the National Science Foundation through Grant DMS0327642 and the Office of Naval Research through Grant N00014-04-1-0166. JMR thanks PIMS and Simon Fraser University for their hospitality and support in this project. EML also thanks NCAR, the University of Canterbury, and the National Institute of Water and Atmospheric Research (NIWA, Taihoro Nukurangi), New Zealand, for their hospitality and support in this project.
Andrews, D. G., , and M. E. McIntyre, 1978a: An exact theory of nonlinear waves on a Lagrangian-mean flow. J. Fluid Mech., 89 , 609–646.
Gjaja, I., , and D. D. Holm, 1996: Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid. Physica D, 98 , 343–378.
Groeneweg, J., , and G. Klopman, 1998: Changes of the mean velocity profiles in the combined wave-current motion described in a GLM formulation. J. Fluid Mech., 370 , 271–296.
Hasselmann, K., 1971: On the mass and momentum transfer between short gravity waves and larger-scale motions. J. Fluid Mech., 50 , 189–201.
Jenkins, A. D., 1987: Wind and wave induced currents in a rotating sea with depth-varying eddy viscosity. J. Phys. Oceanogr., 17 , 938–951.
Leibovich, S., 1977a: On the evolution of the system of wind drift currents and Langmuir circulations in the ocean. Part 1. Theory and averaged current. J. Fluid Mech., 79 , 715–743.
Longuet-Higgins, M. S., 1970: Longshore currents generated by obliquely incident sea waves, 1 & 2. J. Geophys. Res., 75 , 6778–6801.
Longuet-Higgins, M. S., , and R. W. Stewart, 1960: Changes in form of short gravity waves on long tidal waves and tidal currents. J. Fluid Mech., 8 , 565–583.
Longuet-Higgins, M. S., , and R. W. Stewart, 1961: The changes in amplitude of short gravity waves on steady non-uniform currents. J. Fluid Mech., 10 , 529–549.
Longuet-Higgins, M. S., , and R. W. Stewart, 1962: Radiation stress and mass transport in gravity waves, with application to “surf beats.”. J. Fluid Mech., 13 , 481–504.
Longuet-Higgins, M. S., , and R. W. Stewart, 1964: Radiation stresses in water waves: A physical discussion, with applications. Deep-Sea Res., 11 , 529–562.
McWilliams, J. C., , J. M. Restrepo, , and E. M. Lane, 2004: An asymptotic theory for the interaction of waves and currents in coastal waters. J. Fluid Mech., 511 , 135–178.
Mellor, G., 2005: Some consequences of the three-dimensional currents and surface wave equations. J. Phys. Oceanogr., 35 , 2291–2298.
Sullivan, P. P., , J. C. McWilliams, , and W. K. Melville, 2004: The oceanic boundary layer driven by wave breaking with stochastic variability. I: Direct numerical simulation of neutrally-stratified shear flow. J. Fluid Mech., 507 , 143–174.