Philander, S. G. H., and J.-H. Yoon, 1982: Eastern boundary currents and coastal upwelling. Journal of Physical Oceanography, 12 (8), 862-879.

Abstract: The adjustment of the eastern coastal zone of an inviscid ocean with vertical walls to a change in wind conditions occurs in two stages. After the propagation of a Kelvin wave across the forced region in a time T_k which is of the order of a day or two, the coastal upwelling zone is temporarily in equilibrium with the wind. Further adjustment occurs after a time T_R, which is of the order of a few months, when westward Rossby dispersion of the coastal jet becomes important. These time scales define three frequency ranges that characterize the response to fluctuating winds with period P.1) At high frequencies short Kelvin waves can destroy coherence between the forcing and response, alongshore coherence of oceanic variables is small, and the spectrum of the response is red even if that of the forcing is white. The offshore scale of the response is the radius of deformation. Poleward phase propagation at Kelvin wave speed c in unforced regions and at speed 2c in the forced region is prominent in this frequency range and at all lower frequencies. 2) At intermediate frequencies long Kelvin waves from the boundary of the forced region establish an equilibrium response so that the ocean and atmosphere are practically in phase, but Kelvin waves excited by remote winds could destroy this coherence. Alongshore correlations are high and the spectrum of the response is much less red than at higher frequencies. The offshore scale exceeds the radius of deformation and increases with decreasing frequency. 3) At low frequencies the offshore scale is the distance Rossby waves travel in time P. A complex system of northward and southward currents appears near the eastern boundary of the basin. It is proposed that the California Current system is generated in this manner.