In this paper, we consider the initial boundary value problem of the 2D compressible primitive equations with density-dependent viscosity for atmospheric dynamics. Local existence and uniqueness of strong solutions to this system are established with any \(H^2\) initial data. The initial vacuum is allowed.

中文翻译：

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具有密度相关粘性的二维可压缩原始方程的强解的局部存在性和唯一性

在本文中，我们考虑了大气动力学中具有密度相关粘度的二维可压缩原始方程的初始边界值问题。该系统的强解的局部存在性和唯一性是用任何\(H^2\)初始数据建立的。允许初始真空。