Nonlinear Processes in Geophysics
Previous research regarding the solutions of Long's equation always presumed that the flow far upstream is without shear. In this paper we derive the proper form of this equation when shear is present. We then apply a sequence of transformations to this equation which make it possible to linearize it while preserving its physical contents. We then derive conditions under which the solutions of this linear equation admit the existence (or creation) of gravity waves. We present also a solution of this model equation when the presence of shear in the overall flow is 'small'.
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An edited version of this paper was published by AGU. Copyright 2010 American Geophysical Union.
Humi, M. (2010). The Effect of Shear on the Generation of Gravity Waves. Nonlinear Processes in Geophysics, 17(2), 201-210. http://dx.doi.org/10.5194/npg-17-201-2010