Abstract:We construct an exact solution of the geophysical fluid dynamics governing equations which models waves in the presence of underlying currents, extending Pollard's wave solution to admit underlying meridional and vertical currents at mid-latitudes. We show that these currents cannot be prescribed arbitrarily, but rather must be constant and form a velocity vector which is parallel to the Earth's rotation vector. At the equator, there is freedom to prescribe a meridional current term which may vary both zonally and vertically.

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中文翻译：

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具有基础电流的波波

摘要：我们构造了一个地球物理流体动力学控制方程的精确解，该方程在存在潜在电流的情况下对波进行了建模，并扩展了Pollard的波动解以在中纬度处接受潜在的子午线和垂直流。我们表明，这些电流不能任意规定，而必须是恒定的，并形成与地球自转矢量平行的速度矢量。在赤道，可以自由规定子午电流项，该子项在纬向和垂直方向上都可以变化。

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