We consider a steady, geophysical 2D fluid in a domain, and focus on its western boundary layer, which is formally governed by a variant of the Prandtl equation. By using the von Mises change of variables, we show that this equation is well-posed under the assumptions that the trace of the interior stream function is large, and variations in the coastline profile are moderate.

中文翻译：

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平稳旋转Prandtl方程的存在性结果。

我们考虑一个域中稳定的地球物理二维流体，并关注其西边界层，该边界正式由Prandtl方程的变体控制。通过使用变量的冯·米塞斯（von Mises）变化，我们表明，在内部流函数的迹线较大且海岸线剖面的变化适度的假设下，该方程式的位置正确。