In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with classical boundary conditions and the eddy viscosity is an arbitrary height-dependent function with a finite limit value. We present existence and uniqueness and smooth results to justify computing first order approximation of solutions. Using a different argument that in previous works, we construct the Green’s function to derive the solution by a perturbation approach.

中文翻译：

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大气埃克曼流解的存在唯一性和一阶近似

在本文中，我们研究了具有经典边界条件的稳定大气 Ekman 层中风的经典问题，涡粘性是具有有限极限值的任意高度相关函数。我们提出存在性和唯一性以及平滑结果来证明计算解的一阶近似是合理的。使用在以前的工作中不同的论点，我们构造格林函数以通过扰动方法推导出解决方案。